Trigonometry SSC CGL Questions

SSC CGL-Quantitative Aptitude

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.
\(\dfrac{12}{13}\)
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
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 72m and 128m 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
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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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
ANSWER :
D. 0