ECAT Mathematics Chapter 15 online mcq test with answers for chapter 15 (Inverse Trigonometric

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Sr.#	Question	Answer
1	Sin -1 x=	A. sin(π/2-x) B. Sin-1 (π/2-x) C. π/2-cos-1x D. π/2 + cos-1x
2	If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to	A. π/ 3 B. π/ 2 C. π/ 6 D. π
3		A. 1 B. -1 C. 0 D. None of these
4		A. B. C. D.
5		A. π/ 2 B. π/ 3 C. π/ 4 D. π
6		A. π / 3 B. π / 4 C. π / 6 D. 0
7	The range of the principal sine function is	A. B. C. D.
8		A. 16 / 7 B. 6 / 17 C. 7 / 16 D. None of these
9		A. B. C. D.
10		A. B. C. D.
11	The value of cos(cos-1 1/2) is	A. 1/2 B. √3/2 C. -1/2 D. 1/√2
12	The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is	A. 0 B. 2 C. 1 D. Infinite
13		A. B. C. D.
14	tan^-1(1/4) + tan^-1(2/9) is equal to	A. 1/2 cos^-1(3/5) B. 1/2 sin^-1(3/5) C. 1/2 tan^-1(3/5) D. tan^-11/2
15		A. 20 B. 10 C. 0 D. None of these
16	If cos (2 sin-1 x) = 1/9 , then what is the value of x?	A. 1/3 B. -2/3 C. 2/3 D. 2/3 , -2/3
17		A. B. C. D.
18	cos^-1(cos x) =	A. x B. cos x C. x = 1/x D. cos^-2 x
19		A. π / 3 B. π / 4 C. π / 2 D. π
20		A. B. C. D.
21	The value of sin [ arc cos (-1/2)] is	A. B. C. D.
22	The exact degree value of the function sin-1( -√3/2) is	A. 70^ο B. 50^ο C. 90^ο D. 60^ο
23	Tan^-11/x = ______	A. sin x B. sec^-1X C. cot^-1X D. None of these
24		A. B. C. D.
25	sin (sin^-1(1/2))=	A. 0 B. 2 C. ∞ D. 1/2
26	The principal value of sin^-1(-1/2)	A. π/3 B. π/4 C. π/6 D. -π/6
27	The Principal value of sin-1 (-1/1/2)	A. π/2 B. -π/2 C. π D. -π
28	The value of sin^-1 5/13 is equal to	A. Cos 5/13 B. Tan^-1 5/12 C. cos^-15/12 D. 2 cos^-14/5
29	sin -1(sin2π/3) =	A. π/2 B. 2π/3 C. -3π/2 D. π/3
30		A. B. C. D.