Inverse Trigonometric Functions: Class 12 Previous Year Questions

Inverse Trigonometric Functions questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. Assertion (A) : If a line makes angles ·, ·, with positive direction of the coordinate axes, then sin? · + sin? · + sin? = 2. Reason (R) : The sum of squares of the direction cosines of a line is 1. Page 11 3· : sin-1 21. (a) + cos-1 (cos ·) + tan-1 (1) sin (b…
   Board 20231 markAssertion-Reason
2. Assertion (A) : The range of the function f(x) = 2 sin 1 x + 2 3 , where x [ 1 , 1], is 2 5 , 2 . Reason (R) : The range of the principal value branch of sin 1 (x) is [0, ].
   Board 20231 markAssertion-Reason
3. ·+y dy. 16. If tan (A) (B) (C) (D) sec Page 9 17. = b (4, 6) 42 (2)19· (A) a= 9, b= 1 (B) a= 5, b = 2 (C) a=3, b = 5 (D) a= 5, b = 3 18.(0, 4),(8,0) 20 3'3 =3024,): (B) (A) 40 96 120 (D) (C) 136 lle -e 1920 1 al () · () () (V) () (B) (A) (R) , (R), (A)1 (C) (A…
   Board 20231 markMCQ
4. Assertion (A) : Maximum value of (cos-1 x)2 is ·2. Reason (R) : Range of the principal value branch of cos-lx is
   Board 20231 markAssertion-Reason
5. · 21. (a) Evaluate sin-1 + cos-1 (cos ·) + tan-1 (1). sin OR (b)Draw the graph of cos-1 x, where x e[-1, O]. Also, write its range.
   Board 20232 marksshort answer
6. Find the domain of the function y = cos-1(|x - 1|). Show your steps. OR 2 Draw the graph of the following function: y = 2sin-1(x), -π ≤ y ≤ π
   CBSE practice 2023-242 marksshort answer

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