Explore topic-wise MCQs in Mathematics.

This section includes 133 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

csc(90°-α) =

A. −cosecα
B. cosecα
C. −secα
D. secα
Answer» E.
Discussion
2.

cos(π-α) =

A. −cosα
B. cosα
C. −sinα
D. sinα
Answer» B. cosα
Discussion
3.

sin(π+α) =

A. cosα
B. −cosα
C. −sinα
D. sinα
Answer» D. sinα
Discussion
4.

tan2α =

A. 2tanα/1 - tan2
B. tanα/1+ tan2
C. 2tanα/1 + tan2
D. None of the Above
Answer» B. tanα/1+ tan2
Discussion
5.

sin(α-90°) =

A. −cosα
B. cosecα
C. −secα
D. sinα
Answer» B. cosecα
Discussion
6.

sin780°sin234°+cos120°sin30° =

A. 3⁄2
B. 1⁄2
C. −1⁄2
D. −1
Answer» C. −1⁄2
Discussion
7.

sin(x+30°) + sin(x-30°) =

A. √2cos(x)
B. √2sin(x)
C. √3sin(x)
D. √3cos(x)
Answer» D. √3cos(x)
Discussion
8.

cos6θ+cosec3θ =

A. 2cos9θ/2 cos3θ/2
B. 2sin9θ/2 sin3θ/2
C. 2sin9θ/2 cos3θ/2
D. None of the Above
Answer» B. 2sin9θ/2 sin3θ/2
Discussion
9.

1 - cos6α =

A. 3sin2α
B. 2sin23α
C. 3sin23α
D. 2sin22α
Answer» C. 3sin23α
Discussion
10.

cosθ+cos3θ/2sinθsin2θ =

A. tan2θtanθ
B. cot2θcotθ
C. −tan2θtanθ
D. sin2θtanθ
Answer» C. −tan2θtanθ
Discussion
11.

cos12α =

A. 4cos33α-3cos3α
B. 3cos33α-4cos3α
C. 3sin3α-4sin33α
D. 4sin3α-3sin33α
Answer» C. 3sin3α-4sin33α
Discussion
12.

sin5θ+sin7θ =

A. sin6θcosθ
B. cos6θsinθ
C. tan2θtanθ
D. 2sin6θcosθ
Answer» E.
Discussion
13.

tan294° =

A. cot24°
B. −cot24°
C. −tan24°
D. tan24°
Answer» C. −tan24°
Discussion
14.

If sinθ < 0, cosθ < 0, then the terminal arm of the angle lies in the quadrant

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
Discussion
15.

If sinθ < 0, cosθ > 0, then the terminal arm of the angle lies in the quadrant

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
Discussion
16.

sin(x+45°) + sin(x-45°) =

A. 1/√2cos(x)
B. √3/2sin(x)
C. 1/√2sin(x)
D. None of the Above
Answer» D. None of the Above
Discussion
17.

cosec(2040°) =

A. −√3/2
B. √3/2
C. 2/√3
D. −2/√3
Answer» E.
Discussion
18.

If cotθ < 0, cosθ < 0, then the terminal arm of the angle lies in the quadrant

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
Discussion
19.

tan(π+α) =

A. tanα
B. −tanα
C. cotα
D. −cotα
Answer» B. −tanα
Discussion
20.

sin319° =

A. −cos33°
B. sin41°
C. −sin41°
D. sin16°
Answer» D. sin16°
Discussion
21.

sin(-300°) =

A. −√(3/2)
B. √(3/2)
C. 2/√(3)
D. 0
Answer» C. 2/√(3)
Discussion
22.

cot(α + β) =

A. cotα-cotβ/1 + cotαcotβ
B. cotα+cotβ/1-cotαcotβ
C. cotαcotβ-1/cotα+cotβ
D. cotαcotβ+1/cotα+cotβ
Answer» D. cotαcotβ+1/cotα+cotβ
Discussion
23.

sin9α =

A. 4cos33α-3cos3α
B. 3cos33α-4cos3α
C. 3sin3α-4sin33α
D. 4sin3α-3sin33α
Answer» D. 4sin3α-3sin33α
Discussion
24.

2sin7θcos3θ =

A. tan2θtanθ
B. cot2θcotθ
C. −tan2θtanθ
D. sin10θ+sin4θ
Answer» E.
Discussion
25.

cos7θ-cosθ =

A. 2sin4θsin3θ
B. −2sin4θsinθ
C. −2sin4θcosθ
D. 2sin4θcosθ
Answer» C. −2sin4θcosθ
Discussion
26.

1 - cos2α =

A. 2sinα
B. 2cosα
C. 2secα
D. 2sin2α
Answer» E.
Discussion
27.

sin8θ-sin4θ =

A. 2sin4θsin3θ
B. 2sin6θcos2θ
C. 2cos6θsin2θ
D. 2cos4θsinθ
Answer» D. 2cos4θsinθ
Discussion
28.

sin(π/2-α) =

A. cosecα
B. cosα
C. −cosα
D. −sinα
Answer» C. −cosα
Discussion
29.

sin(-780°) =

A. −√3/2
B. √3/2
C. 2/√3
D. 0
Answer» B. √3/2
Discussion
30.

cos12°+cos48° =

A. cos30°cos18°
B. 3cos30°cos18°
C. 2cos30°cos18°
D. None of the Above
Answer» D. None of the Above
Discussion
31.

2cosαsinβ =

A. cos(α + β)+ cos(α - β)
B. cos(α + β)- cos(α - β)
C. sin(α + β)+ sin(α - β)
D. sin(α + β)- sin(α - β)
Answer» E.
Discussion
32.

tan(-135°) =

A. 1/√(2)
B. −1/√(2)
C. 3/√(2)
D. 1
Answer» E.
Discussion
33.

sin12α =

A. 3cos34α-4cos4α
B. 4cos34α-3cos4α
C. 3sinα-4sin34α
D. 4sin4α-3sin3sin4α
Answer» D. 4sin4α-3sin3sin4α
Discussion
34.

2sinαcosβ =

A. cos(α + β)+ cos(α - β)
B. cos(α + β)- cos(α - β)
C. sin(α + β)+ sin(α - β)
D. sin(α + β)- sin(α - β)
Answer» D. sin(α + β)- sin(α - β)
Discussion
35.

1+cos4α =

A. 2cos2α
B. 4sin2α
C. 2sin22α
D. 2cos22α
Answer» E.
Discussion
36.

cosθ+cos3θ+cos5θ+cos7θ/sinθ+sin3θ+sin5θ+sin7θ =

A. tan4θ
B. −tan4θ
C. cot4θ
D. None of the Above
Answer» D. None of the Above
Discussion
37.

If tanθ > 0, sinθ < 0, then the terminal arm of the angle lies in the quadrant

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
38.

Cos(-α) =

A. sinα
B. −sinα
C. −sinα
D. sinα
Answer» E.
Discussion
39.

tan(-α) =

A. −tanα
B. tanα
C. cotα
D. cotα
Answer» B. tanα
Discussion
40.

1 - cos4α =

A. 2sin2α
B. 4sin2α
C. 4cos2α
D. 2sin22α
Answer» E.
Discussion
41.

cos147° =

A. −cos33°
B. cos33°
C. cos16°
D. sin16°
Answer» B. cos33°
Discussion
42.

cos254° =

A. sin16°
B. cos33°
C. cos16°
D. −sin16°
Answer» E.
Discussion
43.

2sin2(α/2) =

A. 1+cosα
B. 1 - cosα
C. 1 - sinα
D. 1 + sinα
Answer» C. 1 - sinα
Discussion
44.

sin10°sin30°sin50°sin70° =

A. 3⁄16
B. −3⁄16
C. 1⁄16
D. None of the Above
Answer» D. None of the Above
Discussion
45.

sec2α - 1 is

A. tanα
B. tan2α
C. cos2
D. None of the Above
Answer» C. cos2
Discussion
46.

sinα =

A. ±√(1 - cos2α)/2
B. ±√(1+ cos2α)/2
C. ±(√(1)+ sin2α)/2
D. None of the Above
Answer» B. ±√(1+ cos2α)/2
Discussion
47.

tan(270°- θ) =

A. cotθ
B. −cotθ
C. tanθ
D. −tanθ
Answer» B. −cotθ
Discussion
48.

cot(α-90°) =

A. tanα
B. −tanα
C. −cotα
D. cotα
Answer» C. −cotα
Discussion
49.

cos3α =

A. 4sinα - 3sin3α
B. 4cos3α - 3cosα
C. 3cos3α - 4cosα
D. 3sinα - 4sin3α
Answer» B. 4cos3α - 3cosα
Discussion
50.

cos20°+cos100°+cos140° =

A. 2
B. 1
C. 0
D. −1
Answer» D. −1
Discussion