Trignometry SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Trignometry MCQ Questions


1.
If cos θ =\(\frac{\sqrt{5}}{2}\) , then what will be the value of (sec θ + tan θ − cot θ sin θ)?
SSC CHSL 2021-12.04.2021-1
A.
\(2 + \frac{4\sqrt{5}}{5}\)
B.
\(2 + \sqrt{5}\)
C.
\(2 + \frac{\sqrt{5}}{2}\)
D.
\(2 + \frac{2\sqrt{5}}{5}\)
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ANSWER :
A. \(2 + \frac{4\sqrt{5}}{5}\)
2.
If 8 sin2θ + 2 cos θ = 5, 0° < θ < 90°, then the value of tan2θ + sec2θ − sin² θ will be:
SSC CHSL 2021-12.04.2021-1
A.
\(\frac{305}{144}\)
B.
\(\frac{431}{144}\)
C.
\(\frac{23}{9}\)
D.
\(\frac{153}{72}\)
😑 View Answer Rough Work Error
ANSWER :
A. \(\frac{305}{144}\)
3.
If cot2x - 7 cosec2x + 7 =0 , then the value of x (0≤x≤90°) is: is:
SSC CHSL 2021-12.04.2021-2
A.
30°
B.
0°
C.
90°
D.
60°
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ANSWER :
C. 90°
4.
AB and AC are tangents to a circle with centre O from an external point A. The tangents AB and AC touch the circle at B and C, respectively, such that ∠BAC = 118°. Find the measure of ∠OCB.
SSC CHSL 2021-12.04.2021-2
A.
59°
B.
62°
C.
60°
D.
54°
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ANSWER :
A. 59°
5.
What is the value of sin2 60 + tan2 45 + sec2 45 - cosec2 30 ?
SSC CHSL 2021-12.04.2021-2
A.
4
B.
\(\frac{1}{4}\)
C.
\(-\frac{1}{4}\)
D.
\(-4\)
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ANSWER :
C. \(-\frac{1}{4}\)
6.
If 2 tan x + 3 cot x = 5, then the value of 4 tan2 x + 9 cot2 x is:
SSC CHSL 2021-12.04.2021-2
A.
11
B.
15
C.
17
D.
13
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ANSWER :
D. 13