Trigonometry SSC CGL Questions

Trigonometry

Trigonometry MCQ Questions

13.

If cot B = \(\dfrac{12}{5}\), what is the value of sec B?
SSC CGL 2021-12.04.2022-1

A.

\(\dfrac{5}{12}\)

B.

\(\dfrac{13}{12}\)

C.

\(\dfrac{13}{5}\)

D.

\(\dfrac{12}{13}\)

ANSWER :
B. \(\dfrac{13}{12}\)
14.

tan2 A + 5 sec A = 13, where 0 < A < 90°. Solve for A (in degrees).
SSC CGL 2021-12.04.2022-3

A.

0

B.

60

C.

45

D.

30

ANSWER :
B. 60
15.

If

\( 2k\,\sin 30^\circ \,\cos 30^\circ \,\cot 60^\circ = \frac{\cot^{2} 30^\circ \,\sec 60^\circ \,\tan 45^\circ} {\mathrm{cosec}^{2} 45^\circ \,\mathrm{cosec}\, 30^\circ} \),

then find the value of k.
SSC CGL 2021-12.04.2022-3

A.

\(\dfrac{3}{2}\)

B.

3

C.

1

D.

6

ANSWER :
B. 3
16.

The angle of elevation of the top of a tall building from the points M and N at the distance of 72 m and 128 m respectively, from the base of the building and in the same straight line with it, are complementary. The height of the building (in m) is:
SSC CGL 2021-12.04.2022-2

A.

84

B.

96

C.

80

D.

90

ANSWER :
B. 96
17.

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 110\(\sqrt{3}\) m high, what is the distance (in m) of point P from the foot of the tower?
SSC CGL 2021-12.04.2022-3

A.

330

B.

220

C.

115

D.

110

ANSWER :
A. 330
18.

If a + b + c = 6, a2 + b2 + c2 = 32, and a3 + b3 + c3 = 189, then the value of abc − 3 is:
SSC CGL 2021-12.04.2022-2

A.

2

B.

3

C.

1

D.

0

ANSWER :
D. 0