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

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Trigonometry Practice Questions Exam-4

20 MCQs
20 Marks
10 Minutes

1 / 20

If tanθ= (x sinϕ) / (1−xcosϕ) and, tan ϕ = (y sin θ)/ (1−y cos θ) then x/y =

2 / 20

The expression sin²x+cos²x – 1 = 0 is satisfied by how many values of x?

3 / 20

If A, B and C are interior angles of a ΔABC then cos(B+C)/2 is equal to

4 / 20

cos 1° × cos 2° × cos 3° ×……..× cos 180° is equal to:

5 / 20

The general solution of √3 cos x – sin x = 1 is

6 / 20

Assume the Earth to be a sphere of radius R. What is the radius of the circle of latitude 40° S?

7 / 20

Which of the following is correct for some θ, such that 0° ≤θ< 90°

8 / 20

Which of the following numbers can form sides of a right angled triangle?

9 / 20

The value of cot² 30°−2 cos² 60°−3/4 sec² 45°−4 sin² 30° is

10 / 20

For what value of θ is (sin θ + cosec θ) = 2.5, where 0 < θ < 90°?

11 / 20

Ratios of sides of a right triangle with respect to its acute angles are known as

12 / 20

What is the minimum value of 9tan²θ + 4cot²θ ?

13 / 20

If y sin 45° cos 45° = tan² 45° – cos² 30°, then y = ?

14 / 20

If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is

15 / 20

If p cot θ = √(q²-p²), then the value of sin θ is- (θ being an acute angle)

16 / 20

If [sin a + cosec a]² +[cos a + sec a]² = k + tan²a + cot²a , then the value of k is equal to

17 / 20

[cosA/cot A] + sin A= ?

18 / 20

16 If 2 cot θ = 3, then what is (2cosθ−sinθ)/(2cosθ+sinθ) equal to?

19 / 20

5 tan² A – 5 sec² A + 1 is equal to

20 / 20

If a sin 45° = b cosec 30°, what is the value of (a^4)/(b^4)?

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