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ECAT Pre General Science Mathematics Chapter 16 Solution of Trigonometric Equations Online Test MCQs With Answers
Question # 1
The solution of the equation 3 tan
2
x = 1 is ____________
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none of these
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Question # 2
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 3
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 4
cot
θ
= sin 2
θ
if
θ
=
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Question # 5
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none of these
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Question # 6
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Question # 7
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Question # 8
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Question # 9
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Question # 10
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 11
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none of these
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Question # 12
For Cosine Rule of any triangle ABC, b
2
is equal to
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a
2
- c
2
+ 2ab cos A
a
3
+ c
3
- 3ab cos A
a
2
+ c
2
- 2ac cos B
a
2
- c
2
4bc cos A
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Question # 13
If sin 6
θ
+ sin 4
θ
+ sin 2
θ
, then
θ
=
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Question # 14
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
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0
1
2
None of these
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Question # 15
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none of these
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Question # 16
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none of these
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Question # 17
Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
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Angle A is obtuse
Angle A is acute
Angle A is right-angle
All of above
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Question # 18
One root of the equation cos x - x + 1/2 = 0 lies in the interval
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Question # 19
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 20
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Question # 21
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 22
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30°
45°
60°
75°
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Question # 23
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I and
I
V
quadrants
none of these
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Question # 24
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Question # 25
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 26
The general solution of tan 3x = 1 is
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Question # 27
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none of these
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Question # 28
The solution set of trigonometric equation contains
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one element
two elements
three elements
Infinite elements
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Question # 29
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From an empty set
1
2
>2
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Question # 30
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