Trignometry SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Trignometry MCQ Questions


13.
AB and CD are two chords of a circle which intersect at E inside the circle. If ∠BEC = 125° and ∠EBD = 28°, then what is the measure of ∠BAC ?
SSC CHSL 2021-13.04.2021-1
A.
87°
B.
56°
C.
97°
D.
55°
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ANSWER :
C. 97°
14.
If 5 sin2 θ = 3(1 + cos θ), 0° < θ < 90°, then the value of cosec θ + cot θ is:
SSC CHSL 2021-13.04.2021-1
A.
\(\dfrac{4}{\sqrt{21}}\)
B.
\(\sqrt{\dfrac{3}{7}}\)
C.
\(\dfrac{5}{\sqrt{21}}\)
D.
\(\sqrt{\dfrac{7}{3}}\)
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ANSWER :
D. \(\sqrt{\dfrac{7}{3}}\)
15.
If cot θ = \(\sqrt{2}\) + 1, then cosec θ sec θ =?
SSC CHSL 2021-13.04.2021-1
A.
\(\dfrac{\sqrt{2}}{2}\)
B.
\(\dfrac{\sqrt{2}}{4}\)
C.
\(2\sqrt{2}\)
D.
\(4\sqrt{2}\)
😑 View Answer Rough Work Error
ANSWER :
C. \(2\sqrt{2}\)
16.
If tan A =\(\dfrac{1.1}{6}\) , then what is the value of (4 cos A − 7 sin A)? Given that A is an acute angle.
SSC CHSL 2021-13.04.2021-2
A.
\(2\dfrac{14}{61}\)
B.
\(2\dfrac{41}{71}\)
C.
\(2\dfrac{14}{71}\)
D.
\(2\dfrac{41}{61}\)
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ANSWER :
D. \(2\dfrac{41}{61}\)
17.
In △ABC, ∠B = 90∘, AB = 8 cm, and BC = 15 cm. D is a point on BC such that AD bisects ∠A. The length (in cm) of BD is:
SSC CHSL 2021-13.04.2021-2
A.
4.5
B.
4.8
C.
4.2
D.
3.6
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ANSWER :
B. 4.8
18.
If 0° < θ < 90°, then \(\dfrac{(1-\sin\theta)(\sec\theta + \tan\theta)\tan\theta}{(\tan\theta + \sec\theta + 1)(\cot\theta -  \mathrm{cosec}\theta + 1)} = ?\)
SSC CHSL 2021-13.04.2021-2
A.
sin θ
B.
\(\dfrac{\sin\theta}{2}\)
C.
cos θ
D.
\(\dfrac{\cos\theta}{2}\)
😑 View Answer Rough Work Error
ANSWER :
B. \(\dfrac{\sin\theta}{2}\)