Mastering Trigonometry for Quantitative Aptitude (Chapter-12): 100 MCQS to Ace Competitive Exams in India

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Trigonometric Test Questions-5

20 MCQs
20 Marks
10 Minutes

1 / 20

The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is

2 / 20

If 3 × tan(x – 15) = tan(x + 15), then the value of x is

3 / 20

The value of cos 20 + 2sin² 55 – √2 sin65 is

4 / 20

The angle of elevation of a cloud from a point h metres above a lake is β. The angle of depression of its reflection in the lake is 45° . The height of location of the cloud from the lake is

5 / 20

If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is

6 / 20

(1 + tan θ + sec θ)(1 + cot θ − cosecθ) is equal to

7 / 20

A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is

8 / 20

The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, the length of the wire is

9 / 20

If sin θ + cos θ = a and sec θ + cosec θ = b , then the value of b(a²-1) is equal to

10 / 20

The value of (sin 7x + sin 5x) /(cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is

11 / 20

If sin θ = cos θ , then 2 tan²θ + sin²θ −1 is equal to

12 / 20

The value of cos 5π is

13 / 20

Two persons are standing ‘x’ metres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is

14 / 20

If the radius of the circumcircle of an isosceles triangle PQR is equal to PQ ( = PR), then the angle P is

15 / 20

If the ratio of the height of a tower and the length of its shadow is √3 : 1 then the angle of elevation of the sun has measure

16 / 20

A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30° , then x is equal to

17 / 20

The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the tower is 60° . The height of the tower (in metres) is equal to

18 / 20

In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals

19 / 20

If tan A – tan B = x and cot B – cot A = y, then the value of cot (A – B) is

20 / 20

The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is

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