Explore topic-wise MCQs in Mathematics.

This section includes 9 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+cos1 x= ___

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

What is the value of 2 tan-1 x in terms of sin-1 ?

A. sec<sup>-1</sup> u2061x
B. 2 sec<sup>-1</sup> u2061x
C. 2 sec<sup>-1</sup> u2061 (( sqrt{1+x^2}) )
D. sec<sup>-1</sup> u2061 (( sqrt{1+x^2}) )
Answer» D. sec<sup>-1</sup> u2061 (( sqrt{1+x^2}) )
Discussion
3.

Find the value of sin-1 ( ( frac{3}{5} ))+sin-1 ( ( frac{4}{5} ))+cos-1 (( frac{ sqrt{3}}{2}) ).

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

Find the value of tan-1 ( ( frac{1}{3} ))+tan-1 ( ( frac{1}{5} ))+tan-1 ( frac{1}{7})[/latex]

A. tan<sup>-1</sup> u2061 (( frac{4}{7}) )
B. tan<sup>-1</sup> u2061 (( frac{9}{7}) )
C. tan<sup>-1</sup> u2061 (( frac{7}{9}) )
D. tan<sup>-1</sup> u20611
Answer» D. tan<sup>-1</sup> u20611
Discussion
5.

Find the value of sin-1 ( ( frac{5}{13} ))+cos-1 ( ( frac{3}{5} )).

A. sin<sup>-1</sup> u2061( ( frac{63}{65} ))
B. sin<sup>-1</sup> u20611
C. 0
D. sin<sup>-1</sup> u2061( ( frac{64}{65} ))
Answer» B. sin<sup>-1</sup> u20611
Discussion
6.

What is the solution of cot (sin-1 x)?

A. ( frac{ sqrt{1-x^2}}{x} )
B. x
C. ( sqrt{1-x^2} )
D. ( sqrt{1+x^2} )
Answer» B. x
Discussion
7.

What is the value of cos (tan-1 ( ( frac{4}{5} )))?

A. ( frac{5}{4} )
B. ( frac{5}{ sqrt{41}} )
C. ( frac{ sqrt{41}}{5} )
D. ( frac{4}{5} )
Answer» C. ( frac{ sqrt{41}}{5} )
Discussion
8.

What is sec-1 x in terms of tan-1 ?

A. tan<sup>-1</sup> u2061 ( sqrt{1+x^2} )
B. tan<sup>-1</sup> u20611+x<sup>2</sup>
C. tan<sup>-1</sup> u2061x
D. tan<sup>-1</sup> u2061 ( sqrt{x^2-1} )
Answer» E.
Discussion
9.

sin-1 x in terms of cos-1 is ____________

A. cos<sup>-1</sup> u2061 ( sqrt{1+x^2} )
B. cos<sup>-1</sup> u2061 ( sqrt{1-x^2} )
C. cos<sup>-1</sup> u2061x
D. cos<sup>-1</sup> ( frac{ u20611}{x} )
Answer» C. cos<sup>-1</sup> u2061x
Discussion