Engineering Entrance Sample Papers

Trigonometry Practice Questions with Answers

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Multiple Choice Trigonometry and Trigonometry Ratio Sample Paper:

Problems on Trigonometry

Question 1
If sin A, cos A and tan A are in G.P., then cos3 A + cos2 A is equal to
A
2
B
4
C
None of these
D
1
Question 2
If cos x + cos2 x = 1, then the value of sin2 x + sin4 x is
A
2
B
0
C
– 1
D
1
Question 3
cos A + sin (270o + A) – sin (270o – A) + cos (180o + A) =
A
– 1
B
0
C
None of these
D
1
Question 4
The value of sin 10o + sin 20o + sin 30o + …+ sin 360o is

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A
None of these
B
1
C
0
D
– 1
Question 5
tan A + cot (180o + A) + cot (90o + A) + cot (360o – A)
A
0
B
2 (tan A – cot A)
C
2 cot A
D
2 tan A
Question 6
If sin x + sin2 x = 1, then the value of cos12 x + 3 cos10 x + 3 cos8 x + cos6 x – 2 is equal to
A
2
B
1
C
– 1
D
0
Question 7
1 + sinA – cos A / 1 + sin A + cos A =
A
sin A/2
B
tan A/2
C
cot A/2
D
cos A/2
Question 8
Which of the following is correct
A
tan 1 = tan 2
B
tan 1 > tan 2
C
tan 1 < tan 2
D
tan 1 = 1
Question 9
sin 15° + cos 105° =
A
cos 15° + sin 15°
B
0
C
sin 15° – cos 15°
D
2 sin 15°
Question 10
(sec A + tan A – 1) (sec A – tan A + 1) – 2 tan A =

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A
1
B
2 sec A
C
0
D
sec A
Question 11
The angle subtended at the centre of a circle of radius 3 metres by an arc of length 1 metre is equal to
A
3 radians
B
1/3 radian
C
20°
D
60°
Question 12
A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
A
50°
B
100°
C
210°
D
60°
Question 13
If sin x = –24/25, then the value of tan x is

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A
25/24
B
24/25
C
–24/7
D
None of these
Question 14
If sin x + sin y = 3 (cos y – cos x), then the value of sin 3x / sin 3y is
A
1
B
None of these
C
– 1
D
0
Question 15
If A = 130o and x = sin A + cos A, then
A
None of these
B
x > 0
C
x < 0
D
x = 0
Question 16
If tan A = 1/2, tan B = 1/3, then cos 2A =
A
sin 2B
B
None of these
C
sin 3B
D
sin B
Question 17
If tan A + cot A = 4, then tan4 A + cot4 A is equal to
A
194
B
191
C
80
D
110
Question 18
cos 1o + cos 2o + cos 3o + … + cos 180o =
A
2
B
0
C
1
D
– 1
Question 19
cos 1o . cos 2o . cos 3o … cos 179o =

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A
1
B
2
C
1/2
D
0
Question 20
The value of tan (–945o) is
A
– 2
B
– 4
C
– 3
D
– 1
Question 21
If A lies in the second quadrant and 3tan A + 4 = 0, the value of 2 cot A – 5 cos A + sin A is equal to
A
7/10
B
–7/10
C
23/10
D
–53/10
Question 22
If cosec A + cot A = 11/2, then tan A =
A
21/22
B
117/43
C
44/117
D
15/16
Question 23
If sin x + sin2 x = 1, then cos8 x + 2 cos6 x + cos4 x =

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A
– 1
B
2
C
1
D
0
There are 23 questions to complete.

Use Below link to download all Trigonometry questions and answers in PDF format

Question Bank 1: https://www.examsegg.com/downloads/maths/trigonometry.pdf

Question Bank 2: https://www.examsegg.com/downloads/maths/trigonometry-practice-paper.pdf

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Vishal Arora

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