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

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Trigonometry MCQS Questions Test-2

20 MCQs
20 Marks
10 Minutes

1 / 20

An observer 1.5 m tall is 28.5 m away from a tower and the angle of elevation of the top of the tower from the eye of the observer is 45º. The height of the tower is

2 / 20

If tan θ + cot θ = 2, then what is the value of (tanθ)^100 + (cotθ)^100?

3 / 20

If 5 sin θ + 12 cos θ = 13, then what is 5 cos θ – 12 sin θ equal to?

4 / 20

If sin (x – y) = 0.5 and cos(x + y) = 1/2, then what is the value of x?

5 / 20

What is sin 25° sin 35° sec 65° sec 55° equal to?

6 / 20

If cos A = tan B, cos B = tan C and cos C = tan A then sin A is equal to

7 / 20

An aero plane at an altitude of 200 m observes the angles of depression of opposite points on the two banks of a river to be 45º and 60º (When plane is above the river). The width of the river is

8 / 20

What is the value of sin 46° cos 44° + cos 46° sin 44° ?

9 / 20

tan1° tan2° tan3° tan4° ... tan89° =

10 / 20

If 0 ≤ θ ≤ π/2 and cos θ + √3 sin θ = 2, then what is the value of θ ?

11 / 20

If the given figure, BC = 15 cm and sin B = 4/5 . What is the value of AB?

12 / 20

Given that sin α = 1/√2 and cos β = 1/√2, then the value of tan(α + β) is

13 / 20

If θ lies in the first quadrant and cot θ = 63/16, then what is the value of (sin θ + cos θ) ?

14 / 20

If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to cos β ?

15 / 20

If ΔABC is right-angled at A, then sec (B+C) is

16 / 20

The value of (sin 30° cos 60° + cos 30° sin 60°) is :

17 / 20

Suppose 0 < θ < 90°, then for every θ, 4 sin² θ + 1 is greater than or equal to

18 / 20

If tan (A – B) = 1/√3 and tan (A + B) = √3 ,0° < A + B ≤ 90°, A > B.Then the value of A and B is

19 / 20

If sinx + sin² x = 1, then what is the value of (cosx)^8 + 2(cosx)^6 + (cosx)^4?

20 / 20

The value of cos 25° – sin 25° is

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