Explore topic-wise MCQs in Mathematics.

This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

2 cos 75 cos 15 =____________________

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

2 sin 75 sin15 =_____________________________

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

sin 75 sin 15 =_________________

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

sin 75 + sin 15 = _________________

A. ( frac{ sqrt{3}}{ sqrt{2}} )
B. ( frac{ sqrt{2}}{ sqrt{3}} )
C. ( frac{ sqrt{3}}{2} )
D. ( frac{1}{ sqrt{2}} )
Answer» B. ( frac{ sqrt{2}}{ sqrt{3}} )
Discussion
5.

cos 75 cos 15 =___________________

A. ( frac{ sqrt{3}}{ sqrt{2}} )
B. ( frac{ sqrt{2}}{ sqrt{3}} )
C. ( frac{1}{ sqrt{2}} )
D. ( frac{1}{ sqrt{2}} )
Answer» E.
Discussion
6.

cos 75 + cos 15 =___________________

A. ( frac{ sqrt{3}}{ sqrt{2}} )
B. ( frac{ sqrt{2}}{ sqrt{3}} )
C. ( frac{ sqrt{3}}{2} )
D. ( frac{1}{ sqrt{2}} )
Answer» B. ( frac{ sqrt{2}}{ sqrt{3}} )
Discussion
7.

Find tan 3x if tan x= 1.

A. 1
B. -1
C. 1/ ( sqrt{3} )
D. ( sqrt{3} )
Answer» C. 1/ ( sqrt{3} )
Discussion
8.

If cos x=1/2, then cos 3x =_______________

A. 0
B. -1
C. 1/ ( sqrt{2} )
D. 1
Answer» C. 1/ ( sqrt{2} )
Discussion
9.

If sin x= 1/2, then sin 3x =_______________
a) ( sqrt{3} )/2

A. 1/2
B. 1/ ( sqrt{2} )
C. 1
Answer» E.
Discussion
10.

If tan x = 1/ ( sqrt{3} ), then tan2x =_________________

A. 1
B. ( sqrt{3} )
C. 1/ ( sqrt{3} )
D. 0
Answer» C. 1/ ( sqrt{3} )
Discussion
11.

If tan x=1/ ( sqrt{3} ), then sin 2x =___________________

A. 1/ ( sqrt{2} )
B. 1/2
C. ( sqrt{3} )/2
D. 1
Answer» D. 1
Discussion
12.

If sin x=1/2 and cos x= ( sqrt{3} )/2, then find sin 2x.

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