MCQOPTIONS

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} )

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}} )

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.

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}} )

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.

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}} )

7.	Find tan 3x if tan x= 1.
A.	1
B.	-1
C.	1/ ( sqrt{3} )
D.	( sqrt{3} )
Answer» C. 1/ ( sqrt{3} )

8.	If cos x=1/2, then cos 3x =_______________
A.	0
B.	-1
C.	1/ ( sqrt{2} )
D.	1
Answer» C. 1/ ( sqrt{2} )

9.	If sin x= 1/2, then sin 3x =_______________a) ( sqrt{3} )/2
A.	1/2
B.	1/ ( sqrt{2} )
C.	1
Answer» E.

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} )

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

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