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.

51.

tan(α-90°) =

A. tanα
B. −tanα
C. −cotα
D. cotα
Answer» D. cotα
Discussion
52.

cos(α-90°) =

A. −cosecα
B. cosecα
C. −secα
D. sinα
Answer» E.
Discussion
53.

sin5θ+sin3θ =

A. 2cos2θsinθ
B. −2cos4θsinθ
C. −2sin4θcosθ
D. 2sin4θcosθ
Answer» E.
Discussion
54.

cos20°cos40°cos80° =

A. 1⁄16
B. 1⁄8
C. 1⁄4
D. None of the Above
Answer» C. 1⁄4
Discussion
55.

sin(x+90°) + sin(x-90°) =

A. 1/√(2cos(x))
B. √(3)/2sin(x)
C. 1/√(2sin(x))
D. 0
Answer» E.
Discussion
56.

sec(-960°) =

A. 2
B. 1
C. −1
D. −2
Answer» E.
Discussion
57.

sec(π+α) =

A. tanα
B. −cosecα
C. cosecα
D. −secα
Answer» E.
Discussion
58.

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

A. tan4θ
B. −tan4θ
C. −cot4θ
D. None of the Above
Answer» B. −tan4θ
Discussion
59.

sin(x+180°) + sin(x-180) =

A. cos(x)
B. −sin(x)
C. sin(x)
D. −cos(x)
Answer» C. sin(x)
Discussion
60.

sin2α =

A. 1+ tan2α/1 - tan2α
B. 2tanα/1 - tan2α
C. 2tanα/1+ tan2α
D. None of the Above
Answer» D. None of the Above
Discussion
61.

sec(-300°) =

A. 4
B. 3
C. 2
D. 1
Answer» D. 1
Discussion
62.

tan3α =

A. 3tanα-tan3/1-3tan2α
B. 3tanα + tan3/1-3tan2α
C. 3tanα - tan3/1+3tan2α
D. None of the Above
Answer» B. 3tanα + tan3/1-3tan2α
Discussion
63.

cot(90°-α) =

A. tanα
B. −tanα
C. −sinα
D. −cotα
Answer» C. −sinα
Discussion
64.

1 - cos3α =

A. 2cos2(3α/2)
B. 2sin2(3α/2)
C. 3/2 cos2(3α/2)
D. 2sin22α
Answer» C. 3/2 cos2(3α/2)
Discussion
65.

1+cos3α =

A. 2cos2(3α/2)
B. sin2(3α/2)
C. 3/2 cos2(3α/2)
D. 2sin22α
Answer» B. sin2(3α/2)
Discussion
66.

cos315° =

A. 1/√(2)
B. −1/√(2)
C. 3/√(2)
D. None of the Above
Answer» B. −1/√(2)
Discussion
67.

cos540° =

A. −1/√(2)
B. 1/√(2)
C. 3/√(2)
D. 0
Answer» E.
Discussion
68.

sin(90°-α) =

A. −cosα
B. cosα
C. −sinα
D. sinα
Answer» C. −sinα
Discussion
69.

1+cos6α =

A. 3sin2α
B. 2sin23α
C. 3sin23α
D. 2cos23α
Answer» E.
Discussion
70.

cot(α - β) =

A. cotα-cotβ/1 + cotαcotβ
B. cotα+cotβ/1-cotαcotβ
C. cotαcotβ-1/cotα+cotβ
D. cotαcotβ+1/cotα+cotβ
Answer» C. cotαcotβ-1/cotα+cotβ
Discussion
71.

cot(-α) =

A. −tanα
B. tanα
C. cotα
D. cotα
Answer» E.
Discussion
72.

sec(-α) =

A. −cosα
B. −secα
C. secα
D. cosecα
Answer» D. cosecα
Discussion
73.

cos(π/2-α) =

A. −sinα
B. cosα
C. −cosα
D. sinα
Answer» E.
Discussion
74.

csc(π-α) =

A. secα
B. −secα
C. −cosecα
D. cosecα
Answer» E.
Discussion
75.

tan(π/2-α) =

A. cotα
B. tanα
C. −cosα
D. −sinα
Answer» B. tanα
Discussion
76.

2sin3θcosθ =

A. cot4θ+cot2θ
B. cos4θ+cos2θ
C. cos4θ-cos2θ
D. sin4θ+sin2θ
Answer» E.
Discussion
77.

cosα =

A. 2cos2α/2 -1
B. 2cos2α/2 +1
C. 2cos2α-1
D. 2cos2α+1
Answer» B. 2cos2α/2 +1
Discussion
78.

Sin(α + β) =

A. cosαcosβ+sinαsinβ
B. cosαcosβ+sinαsinβ
C. sinαcosβ-cosαsinβ
D. sinαcosβ+cosαsinβ
Answer» E.
Discussion
79.

tan(90°-α) =

A. tanα
B. −tanα
C. −cotα
D. cotα
Answer» E.
Discussion
80.

csc(α-90°) =

A. cosecα
B. −secα
C. −cotα
D. cotα
Answer» C. −cotα
Discussion
81.

sin(x+60°) + sin(x-60°) =

A. 1/√2cos(x)
B. √3/2sin(x)
C. 1/√2sin(x)
D. sin(x)
Answer» E.
Discussion
82.

sin(π-α) =

A. −cosα
B. cosα
C. −sinα
D. sinα
Answer» E.
Discussion
83.

cos9α =

A. 4cos33α-3cos3α
B. 3cos33α-4cos3α
C. 3sin3α-4sin33α
D. 4sin3α-3sin33α
Answer» B. 3cos33α-4cos3α
Discussion
84.

cosθ + cosπ =

A. −2sin(θ + π/2)sin(θ-π/2)
B. 2cos(θ + π/2)sin(θ-π/2)
C. 2cos(θ + π/2)cos(θ-π/2)
D. None of the Above
Answer» D. None of the Above
Discussion
85.

tan(α - β) =

A. tanα-tanβ/1 + tanαtanβ
B. tanα+tanβ/1 - tanαtanβ
C. cotα+cotβ/1-cotαcotβ
D. cotα-cotβ/1 + cotαcotβ
Answer» B. tanα+tanβ/1 - tanαtanβ
Discussion
86.

cot(-855°) =

A. 2
B. 1
C. −1
D. 0
Answer» C. −1
Discussion
87.

cos(90°-α) =

A. −cosα
B. cosα
C. −sinα
D. sinα
Answer» E.
Discussion
88.

sin3α =

A. 4cos3α-3cosα
B. 3cos3α-4cosα
C. 3sinα-4sin3α
D. 4sinα-3sin3α
Answer» D. 4sinα-3sin3α
Discussion
89.

2cos2(α/2) =

A. 1+ cosα
B. 1- cosα
C. 1 + sinα
D. 1 - sinα
Answer» B. 1- cosα
Discussion
90.

2cosαcosβ =

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» B. cos(α + β)- cos(α - β)
Discussion
91.

cos(-435°) =

A. cos15°
B. −cos15°
C. −sin15°
D. sin15°
Answer» E.
Discussion
92.

cot(π-α) =

A. sinα
B. cotα
C. −cotα
D. tanα
Answer» D. tanα
Discussion
93.

tan(1110°) =

A. 1⁄√3
B. −1⁄√3
C. 2⁄√3
D. −2⁄√3
Answer» B. −1⁄√3
Discussion
94.

tan(π-α) =

A. tanα
B. cotα
C. −cotα
D. −tanα
Answer» E.
Discussion
95.

sin(2π-θ)

A. sinθ
B. −sinθ
C. cosθ
D. None of the Above
Answer» C. cosθ
Discussion
96.

cos2α =

A. cos2α - sin2α
B. 2sin2α +1
C. 2sin2α -1
D. 2cos2α +1
Answer» B. 2sin2α +1
Discussion
97.

sec(π-α) =

A. secα
B. −secα
C. −cosecα
D. cosecα
Answer» C. −cosecα
Discussion
98.

cosec(π+α) =

A. tanα
B. −cosecα
C. cosecα
D. −secα
Answer» C. cosecα
Discussion
99.

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» E.
Discussion
100.

tan4α =

A. 4tan2α/1 - tanα
B. 2tan2α/1 + tan2α
C. 2tan2α/1 - tan2α
D. None of the Above
Answer» D. None of the Above
Discussion