Trigonometry SSC CGL Questions

SSC CGL-Quantitative Aptitude

Trigonometry MCQ Questions


1.
The value of 
\[ \frac{\sin(23^\circ)\cos(67^\circ) + \sec(52^\circ)\sin(38^\circ) + \cos(23^\circ)\sin(67^\circ) + \operatorname{cosec}(52^\circ)\cos(38^\circ)} {\operatorname{cosec}^2(20^\circ) - \tan^2(70^\circ)} \]

is :
SSC CGL 2021-11.04.2022-1
A.
3
B.
4
C.
2
D.
0
😑 View Answer Rough Work Error
ANSWER :
A. 3
2.
If 4sin²θ - 3(1 + cosθ), 0° < θ < 90°, then what is the value of (2tanθ + 4sinθ - secθ)?
SSC CGL 2021-11.04.2022-1
A.
3\(\sqrt{15}\)- 4
B.
15\(\sqrt{3}\) - 4
C.
15\(\sqrt{3}\) + 3
D.
4\(\sqrt{15}\) - 3
😑 View Answer Rough Work Error
ANSWER :
A. 3\(\sqrt{15}\)- 4
3.
The angle of elevation of the top of an unfinished tower at a point distant 78m from its base is 30°. How much higher must the tower be raised (in m) so that the angle of elevation of the top of the finished tower at the same point will be 60°?
SSC CGL 2021-11.04.2022-1
A.
78\(\sqrt{3}\)
B.
80
C.
52\(\sqrt{3}\)
D.
26\(\sqrt{3}\)
😑 View Answer Rough Work Error
ANSWER :
C. 52\(\sqrt{3}\)
4.
A vertical pole and a vertical tower are on the same level of ground in such a way that from the top of the pole, the angle of elevation of the top of the tower is 60º and the angle of depression of the bottom of the tower is 30º. If the height of the tower is 76 m, then find the height (in m) of the pole.
SSC CGL 2021-11.04.2022-2
A.
19\(\sqrt{3}\)
B.
57
C.
38
D.
19
😑 View Answer Rough Work Error
ANSWER :
D. 19
5.
What is the value of:
8 \(\sqrt{3}\) sin 30º tan 60º - 3 cos 0º + 3 sin² 45º + 2 cos² 30º?
SSC CGL 2021-11.04.2022-2
A.
18
B.
15
C.
9
D.
12
😑 View Answer Rough Work Error
ANSWER :
D. 12
6.
If cos(A - B) = \(\dfrac{\sqrt{3}}{2}\) and sec A = 2, 0º ≤ A ≤ 90º, 0º ≤ B ≤ 90º, then what is the measure of B?
SSC CGL 2021-11.04.2022-2
A.
60º
B.
0º
C.
30º
D.
90º
😑 View Answer Rough Work Error
ANSWER :
C. 30º