ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 16

MCQ's Test For ECAT Mathematics Chapter 16 Solution of Trigonometric Equations

Try The MCQ's Test For ECAT Mathematics Chapter 16 Solution of Trigonometric Equations

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ECAT Mathematics Chapter 16 Solution of Trigonometric Equations

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Question # 1

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Question # 2

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

Question # 3

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Question # 4

If 4 sin2θ=1, then values ofθare

Question # 5

General solution of tan 5θ= cot 2θis

Question # 6

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Question # 7

The solution of the equation cos2θ+ sinθ+ 1 = 0 lies in the interval

Question # 8

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Question # 9

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Question # 10

The smallest positive root of the equation tan x - x = 0 lies on

Question # 11

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Question # 12

General solution of 1 + cos x = 0 is

Question # 13

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Question # 14

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

Question # 15

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Question # 16

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Question # 17

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Question # 18

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Question # 19

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Question # 20

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Question # 21

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Question # 22

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Question # 23

By expressing sin 125° in terms of trigonometrical ratios, answer will be

Question # 24

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Question # 25

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Question # 26

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Question # 27

The general value ofθsatisfying the equation 2 sin2θ- 3 sinθ-2 = 0 is

Question # 28

One root of the equation cos x - x + 1/2 = 0 lies in the interval

Question # 29

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Question # 30

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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    M AQIB SHABBIR 05 - Jul - 2021 10 Min 50 Sec 0/120
Sr.# Question Answer
1 By expressing cos 113° in terms of trigonometrical ratios, answer will be
A. − cos 76° = -0.7093
B. − cos 65° = -0.4258
C. − cos 67° = -0.3907
D. − cos 62° = -0.8520
2
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
3
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
4
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
5
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A.
I andII quadrants
B. II andIII quadrants
C. II andIVquadrants
D. none of these
6 If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
7
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
8 The solution set of sin x + cos x = 0 is
A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
9
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A. 1
B. 2
C. 3
D. None of these
10 General solution of tan 5θ= cot 2θis
A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
11 The number of values of x in the interval [0, 5π] satisfying the equation 3 sin2x - 7 sinx + 2 = 0 is
A. 0
B. 5
C. 6
D. 10
12
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
13
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
14
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
15 Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
A. Angle A is obtuse
B. Angle A is acute
C. Angle A is right-angle
D. All of above
16
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
17 Sine rule for a triangle states that
A. a/sin A = b/sin B = c/sin C
B. sin A/a = sin B/b = sin C/c
C. a/sin A + b/sin B + c/sin C
D. 2a/sin A = 2b/sin B = 2c/sin C
18 The solution set of trigonometric equation contains
A. one element
B. two elements
C. three elements
D. Infinite elements
19
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A. 7
B. 5
C. 6
D. None of these
20
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A. trigonometric equation
B. conditional equation
C. identity
D. None
21
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A. Choice 1
B. Choice 2
C. Choice 3
D. all
22 The number of points of intersection of two curves y = 2 sin x and y = 5x2+ 2x + 3 is
A. 0
B. 1
C. 2
D. None of these
23 cotθ= sin 2θifθ=
A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
24 The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is
A. 0
B. 1
C. 2
D. 3
25 The solution of the equation 3 tan2x = 1 is ____________
A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
26
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these

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