Trigonometry SSC CGL-Quantitative Aptitude Online Quiz Question and Objective Questions Answers

7.

A kite is attached to a string. Find the length of the string (in m) when the height of the kite is 90 m and the string makes an angle of 30° with the ground.
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A.

180

B.

90√3

C.

45

D.

60√3

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8.

The value of \( 1 + \sqrt{\frac{\cot\theta + \cos\theta}{\cot\theta - \cos\theta}} \), if 0° < θ < 90°, is equal to:
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A.

1 - secθ + tanθ

B.

1 - secθ - tanθ

C.

1 + secθ - tanθ

D.

1 + secθ + tanθ

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9.

The value of \( \left(\frac{1 - \cot\theta}{1 - \tan\theta}\right)^{2} - 1 \), when 0° < θ < 90°, is equal to:
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A.

cos² -1

B.

sec²θ + 1

C.

cot²θ - 1

D.

sin²θ - 1

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10.

If sec A = \(\dfrac{17}{8}\) given that A < 90°, what is the value of the following?
\[ \frac{34 \sin A + 15 \cot A}{68 \cos A - 16 \tan A} \]
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A.

23

B.

19

C.

30

D.

38

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11.

If tan²A + 2tanA - 63 = 0. Given that 0 < A < \(\dfrac{\pi}{2}\), what is the value of (2sinA + 5cosA)?
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A.

19√50

B.

15√50

C.

\(\dfrac{19}{\sqrt{50}}\)

D.

\(\dfrac{15}{\sqrt{50}}\)

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12.

If 3sec²θ + tanθ - 7 = 0, 0° < θ < 90°, then what is the value of \( \frac{2\sin\theta + 3\cos\theta}{\mathrm{cosec}\,\theta + \sec\theta} \) ?
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A.

10

B.

\(\dfrac{5}{2}\)

C.

\(\dfrac{5}{4}\)

D.

4\(\sqrt{2}\)

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Trigonometry SSC CGL Questions

Trigonometry MCQ Questions