Trignometry SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Trignometry MCQ Questions


7.
The length of a rectangle is five times of its breadth. If the area of the rectangle is 3125 cm², then what is the length of the rectangle?
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A.
125 cm
B.
120 cm
C.
135 cm
D.
130 cm
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ANSWER :
A. 125 cm
8.
Let O be the centre of a circle. PA and PB are tangents to the circle from a point P outside the circle and A and B are points on the circle, If angle APB = 50° , then angle OAB is equal to:
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A.
25°
B.
20°
C.
40°
D.
50°
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ANSWER :
A. 25°
9.
2 cos θ + sec θ - 2\(\sqrt{2}\)= 0, where θ is an acute angle. Find the value of θ.
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A.
30°
B.
15°
C.
60°
D.
45°
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ANSWER :
D. 45°
10.
In â–³ABC, if ∠B = 90° , AB = 21 cm and BC = 20 cm, then \(\dfrac{1+\sin A-\cos A}{1+\sin A+\cos A}\) is equal to:
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A.
\(-\dfrac{3}{5}\)
B.
\(\dfrac{2}{5}\)
C.
\(-\dfrac{2}{5}\)
D.
\(\dfrac{3}{5}\)
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ANSWER :
B. \(\dfrac{2}{5}\)
11.
If sec θ =\(\dfrac{65}{63}\) and θ is an acute angle, then the value of 8(cosec θ - cot θ) is:
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A.
1
B.
4
C.
2
D.
8
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ANSWER :
A. 1
12.
If \(\dfrac{ \mathrm{cosec}\theta + \cot\theta}{ \mathrm{cosec}\theta - \cot\theta}\) = 7 , then the value of \(\dfrac{4\sin^{2}\theta + 5}{4\sin^{2}\theta - 1}\) is:
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A.
3
B.
15
C.
9
D.
12
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ANSWER :
C. 9