Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions
Please refer to below Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions. These questions and answers have been prepared by expert Class 12 Mathematics teachers based on the latest NCERT Book for Class 12 Mathematics and examination guidelines issued by CBSE, NCERT, and KVS. We have provided Class 12 Mathematics exam questions for all chapters in your textbooks. You will be able to easily learn problems and solutions which are expected to come in the upcoming class tests and exams for standard 10th.
Chapter 2 Inverse Trigonometric Functions Class 12 Mathematics Exam Question
All questions and answers provided below for Exam Question Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions are very important and should be revised daily.
Exam Question Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions
Very Short Answer Type Questions
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-190.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-208.png)
Question. Write the principal value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-185.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-200.png)
Question. Using principal values, write the value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-189.png)
Answer. Principal value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-206.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-219.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-240.png)
Question. Write the principal value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-220.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-239.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-238.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-224.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-233.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-234.png)
Question. Using principal value, nd the value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-225.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-232.png)
Question. If tan−1 (√3) + cot−1 (x) = π/2, then find x.
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-231.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-226.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-230.png)
Question. Write the principal value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-191.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-207.png)
Question. Find the principal value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-192.png)
Answer. Principal value of
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-214.png)
Question. Write the principal value of tan−1 (√3)− cot−1 (−√3)
Answer. tan−1 (√3)− cot−1 (−√3)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-243.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-218.png)
Answer. We know that, sin–1(sin x) = x
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-242.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-182.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-197.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-183.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-198.png)
Question. Find the value of the following :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-184.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-199.png)
Question. If cos(tan-1 x + cot-1 √3) = 0 then the value of x is ………
Answer. cos(tan-1 x + cot-1 √3) = 0
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-689.png)
Question. The set of values of sec-1 1/2 is ……… .
Answer. Since, domain of sec-1 x is R – (-1, 1).
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-690.png)
Question. The value of cos(sin-1 x + cos-1 x) where |x| ≤ 1, is ……… .
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-693.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-694.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-695.png)
Question. The value of cot-1 (-x ) x ∈ R in terms of cot-1 x is ……… .
Answer. We know that,
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-700.png)
Short Answer Type Questions
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-702.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-703.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-704.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-711.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-713.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-714.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-715.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-716.png)
Question. If 2tan-1 (cos θ) tan-1 (2cosec θ) then show that θ = π/4, where n is any integer.
• Thinking Process
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-725.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-726.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-727.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-728.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-729.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-730.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-731.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-732.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-733.png)
Question. Prove that
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-247.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-262.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-263.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-249.png)
Answer.
Question. Prove that
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-250.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-264.png)
Question. Solve for x : 2 tan–1(cos x) = tan–1(2cosec x)
Answer. tan–1(cos x) = tan–1(2cosec x)
⇒ 2 tan–1 (cosx) – tan–1 (2cosecx) = 0
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-265.png)
Question. Prove that
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-251.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-266.png)
Question. Solve the equation for x :
sin–1x + sin–1(1–x) = cos–1x
Answer.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-267.png)
⇒ sin–1 x + sin–1 x = cos–1(1− x)
⇒ 2sin–1x = cos–1(1–x) ⇒ cos(2sin–1x) = (1 – x)
⇒ 1 – 2 sin2(sin–1 x) = (1 – x) ⇒ 2sin2 (sin–1 x) = x
⇒ 2x2 = x ⇒ 2x2 – x = 0 ⇒ x (2x –1) = 0
⇒ x = 0 or 2x – 1 = 0 ⇒ x = 0 or x = 1/2
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-252.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-268.png)
Question. Solve for x :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-253.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-269.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-270.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-254.png)
Answer. L.H.S.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-271.png)
Question. If sin [cot–1 (x + 1)] = cos (tan–1 x), then find x.
Answer. We have, sin[cot–1 (x + 1)] = cos (tan–1x) … (1)
Let cot–1 (x + 1) = A and tan–1 x = B
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-272.png)
Question. If (tan–1x)2 +(cot−1x)2 = 5π2/8 then find x.
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-273.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-274.png)
Question. Prove the following:
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-255.png)
Answer. L.H.S.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-275.png)
Question. Solve for x :
tan−1 (x + 1) + tan−1 (x – 1) = tan−1 8/31
Answer. We have, tan−1 (x + 1) + tan−1 (x – 1) = tan−1 8/31
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-276.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-278.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-277.png)
Question. Solve for x : tan−1(2 ) + tan−1(3x) = π/4
Answer. We have, tan−1(2 ) + tan−1(3x) = π/4
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-279.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-257.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-288.png)
Question. Prove that
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-258.png)
Answer.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-281.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-282.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-283.png)
Question. Solve for x :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-259.png)
Answer. We have,
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-284.png)
Question. Prove that
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-260.png)
Answer. L.H.S.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-285.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-286.png)
Question. Prove that
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-261.png)
Answer. Putting x = cos θ, we get
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-287.png)
Question. Solve for x : tan−1 x + 2cot−1 x = 2π/3
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-319.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-294.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-320.png)
Question. Find the value of the following :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-295.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-321.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-296.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-322.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-323.png)
Question. Show that:
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-298.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-324.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-331.png)
Question. Prove the following
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-301.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-328.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-302.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-329.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-330.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-303.png)
Answer.
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-307.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-336.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-337.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-308.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-338.png)
Question. Write into the simplest form:
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-313.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-344.png)
Question. Prove that :
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-314.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-345.png)
Long Answer Type Questions
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-734.png)
Answer. We have,
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-735.png)
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-736.png)
Question.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-744.png)
Answer.
![Exam Question for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-745.png)
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-746.png)
Question.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-747.png)
Answer.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-748.png)
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-749.png)
Question. If a1, a2, a3, …, an is an arithmetic progression with common difference d, then evaluate the following expression.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-758.png)
Answer.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/05/image-759.png)
Question. Write into the simplest form:
![](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-227.png)
Answer.
![](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-228.png)
![](https://dkgoelsolutions.com/wp-content/uploads/2022/06/image-229.png)