Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

(sin^{-1} x ) is same as ((sin x)^{-1} ).

A. True
B. False
Answer» C.
Discussion
2.

If (cos^{-1} x=y ), then which of the following is correct?

A. 0 y
B. 0 < y <
C. ( frac{ }{2} y frac{ }{2} )
D. ( frac{ }{2}<y< frac{ }{2} )
Answer» B. 0 < y <
Discussion
3.

Find the value of (cos (sin^{-1} frac{ sqrt{3}}{2}) ) is _____

A. ( frac{ sqrt{3}}{2} )
B. ( frac{1}{4} )
C. ( frac{1}{2} )
D. 0
Answer» D. 0
Discussion
4.

Find the value of (sin^{-1} (sin frac{4 }{3}) ) is _______

A.
B. ( frac{ }{3} )
C. ( frac{4 }{3} )
D. ( frac{ }{3} )
Answer» E.
Discussion
5.

What is the value of 5 (cos^{-1} frac{ 1}{2} + 7 sin^{-1} ( frac{-1}{2}) ) ?

A. ( frac{ }{2} )
B.
C. ( frac{ }{2} )
D. ( frac{17 }{6} )
Answer» D. ( frac{17 }{6} )
Discussion
6.

The domain of sin-1 (3x) is equal to _______

A. [-1, 1]
B. ([ frac{-1}{3}, frac{1}{3}] )
C. [-3, 3]
D. [-3 , 3 ]
Answer» C. [-3, 3]
Discussion
7.

[-1, 1] is the domain for which of the following inverse trigonometric functions?

A. sin<sup>-1</sup> u2061x
B. cot<sup>-1</sup> u2061x
C. tan<sup>-1</sup> u2061x
D. sec<sup>-1</sup> u2061x
Answer» B. cot<sup>-1</sup> u2061x
Discussion
8.

What is the value of (tan^1 frac{1}{ 3}-sin^{-1} 1+ cos^{-1} frac{ 1}{2} ) is ________

A. 2
B. ( u2061 frac{ }{2} )
C.
D. 0
Answer» D. 0
Discussion
9.

What is the principle value of (sec^{-1} ( frac{2}{ sqrt{3}}) ).

A. ( frac{ }{6} )
B. ( frac{ }{3} )
C. ( frac{ }{4} )
D. ( frac{ }{2} )
Answer» B. ( frac{ }{3} )
Discussion
10.

(tan^{-1} sqrt{3}+sec^{-1} 2 cos^{-1} 1 ) is equal to ________

A. 0
B. ( frac{2 }{3} )
C. ( frac{ }{3} )
D. ( frac{ }{4} )
Answer» C. ( frac{ }{3} )
Discussion