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

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Trigonometry Practice Questions Test-3

20 MCQs
20 Marks
10 Minutes

1 / 20

If sin(x + 54°) = cos x, where 0 < x, x + 54° < 90°, then what is the value of x?

2 / 20

The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

3 / 20

A wheel makes 12 revolutions per min. The angle in radian described by a spoke of the wheel in 1 s is

4 / 20

If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is

5 / 20

Consider the following statements for 0 ≤ q ≤ 90°.
I-The value of sin θ + cos θ is always greater than 1.
II-The value of tan θ + cot θ is always greater than 1.
Which of the above statements is/are correct?

6 / 20

If tan 8θ = cot 2θ, where 0 < 8θ < , π/2 then what is the value of tan 5θ?

7 / 20

The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is

8 / 20

What is (cosec x – sin x) (sec x – cos x) (tan x + cot x) equal to ?

9 / 20

If 0 < x < π/2 , then (sin x + cosec x) is

10 / 20

If A, B, C and D are the successive angles of a cyclic quadrilateral, then what is cos A + cos B + cos C + cos D are equal to?

11 / 20

If 1 + tan θ = √2 , then what is the value of cot θ – 1?

12 / 20

If cos a + 2cos b + cos c = 2 then a, b, c are in

13 / 20

If cos ≥ 1/2 in the first quadrant, then which one of the following is correct?

14 / 20

If x and y are complementary angles, then

15 / 20

The Earth takes 24 h to rotate about its own axis. Through what angle will it turn in 4 h and 12 min?

16 / 20

If x + y = 90°, then what is √(cos x cosec y - cos x sin y) equal to?

17 / 20

From the top of a hill, the angles of depression of two consecutive km stones due east are found to be 30º and 45º. The height of the hill is

18 / 20

If ΔABC is right angled at C, then what is cos (A + B) + sin (A + B) equal to?

19 / 20

The shadow of a vertical tower on level ground increases by 10 m when the altitude of the sun changes from 45º to 30º . The height of the tower is

20 / 20

A unit radian is approximately equal to

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