Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Trigonometry

Total Questions: 20

Q1. What is the value of cos(180°)?

0 -1 1/√2 1
Q2. If tan(θ) = 1/√3, what is sin(θ)? (Assume θ is in the first quadrant)

1/2 √3/2 1/√3 1
Q3. If $\cos \theta = \frac{\sqrt{3}}{2}$, find the value of $\sin \theta$ where $\theta$ is acute.

$\frac{1}{2}$ $1$ $0$ $-\frac{1}{2}$
Q4. What is the value of $\lim_{x \to 0} \frac{\tan(ax)}{x}$?

0 a 1 $\infty$
Q5. What is the value of cos(180° + θ)?

sin(θ) cos(θ) -sin(θ) -cos(θ)
Q6. If tan(x) = tan(y), then which of the following is true?

x = y x = nπ + (-1)^n y x = 2nπ ± y x = nπ + y
Q7. Trigonometry is used to measure distances and heights indirectly using:

Microscopes Telescopes Angles and trigonometric ratios Protractors only
Q8. If sin(θ) = 1/2, what is tan(θ)?

1/2 √3/2 1/√3 1
Q9. The angle of elevation of the sun changes from 30 degrees to 60 degrees as a vertical flagstaff casts a shadow of length 'x' meters shorter. The initial shadow length was 'L' meters. Find the height of the flagstaff.

L * sqrt(3) / 2 L * sqrt(3) L / sqrt(3) L * 3 / 2
Q10. If $\sin^{-1} \left( \frac{x}{5} \right) + \cos^{-1} \left( \frac{12}{13} \right) = \frac{\pi}{2}$, then the value of $x$ is:

$\frac{13}{5}$ $\frac{5}{13}$ $5$ $13$
Q11. The term a_n in a trigonometric series represents the coefficient of:

sin(nx) cos(nx) tan(nx) cot(nx)
Q12. What is the period of the function y = cos(2x)?

π 2π 4π π/2
Q13. If all a_n are zero, the trigonometric series represents an:

Odd function Even function Periodic function Constant function
Q14. Evaluate the limit: $\lim_{x \to 0} \frac{\sin(ax) - \sin(bx)}{x}$ where $a, b \neq 0$

a - b b - a 0 a + b
Q15. What is the value of cos(270°)?

0 1 -1 1/2
Q16. What is the value of cot(90° - θ)?

tan(θ) cot(θ) -tan(θ) -cot(θ)
Q17. What is the value of sin(90°)?

0 1/2 1/√2 1
Q18. What is the value of cosec(90°)?

0 1 1/2 √3/2
Q19. If $\cos x = \frac{1}{2}$, then the value of $\cos 3x$ is:

$\frac{1}{2}$ $-\frac{1}{2}$ $0$ $1$
Q20. What are the two fundamental components that trigonometry relates?

Area and Perimeter Sides and Angles Vertices and Edges Volume and Surface Area

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