Explore topic-wise MCQs in Mathematics.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find cos 2x if tan x=1/\(\sqrt{3}\).

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

Find cos 2x if cos x = 1/\(\sqrt{2}\).

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

Find cos 2x if sin x=1/2.

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

cot 15° =______________

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

cot 75° =___________________________

A. 2+\(\sqrt{3}\)
B. 2-\(\sqrt{3}\)
C. 1+\(\sqrt{3}\)
D. \(\sqrt{3}\)-1
Answer» C. 1+\(\sqrt{3}\)
Discussion
6.

tan(15°) =___________________

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

tan(75°) =___________________

A. 2+\(\sqrt{3}\)
B. 2-\(\sqrt{3}\)
C. 1+\(\sqrt{3}\)
D. \(\sqrt{3}\)-1
Answer» B. 2-\(\sqrt{3}\)
Discussion
8.

Is sin (90°+x) = cos x.

A. True
B. False
Answer» B. False
Discussion
9.

Is cos (90° – x) = sin x.

A. True
B. False
Answer» B. False
Discussion
10.

sin(15°) =_________________

A. (1 – \(\sqrt{3}\))/2\(\sqrt{2}\)
B. (\(\sqrt{3}\) + 1)/2\(\sqrt{2}\)
C. (\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)
D. (- \(\sqrt{3}\) – 1)/2\(\sqrt{2}\)
Answer» D. (- \(\sqrt{3}\) – 1)/2\(\sqrt{2}\)
Discussion
11.

sin (75°) =__________________

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

cos(15°) =_____________

A. (1 – \(\sqrt{3}\))/2\(\sqrt{2}\)
B. (\(\sqrt{3}\) + 1)/2\(\sqrt{2}\)
C. (\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)
D. (-\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)
Answer» C. (\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)
Discussion
13.

cos(75°) =__________________

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