Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Trigonometry

Total Questions: 20

Q1. If all a_n are zero, the trigonometric series represents an:

Odd function Even function Periodic function Constant function
Q2. What is the value of cos(30°)?

1/2 1/√2 √3/2 1
Q3. What is cos(90° - θ)?

sin(θ) cos(θ) tan(θ) cot(θ)
Q4. sin(180° - θ) is equal to?

sin(θ) cos(θ) -sin(θ) -cos(θ)
Q5. If cos(x) = cos(y), which of the following is a general solution for x?

n*pi + y 2n*pi + y 2n*pi +/- y n*pi +/- y
Q6. What is the integral of cosec(x) dx?

log|cosec(x) - cot(x)| + C -log|cosec(x) + cot(x)| + C log|sec(x) + tan(x)| + C log|tan(x)| + C
Q7. What is the value of tan(60°)?

1 1/√3 √3 undefined
Q8. If cos(θ) = 1/2, what is sin(θ)?

1/2 √3/2 1/√2 0
Q9. The value of $\tan^{-1} \left( \frac{x}{\sqrt{1-x^2}} \right)$ for $0 < x < 1$ is:

$\sin^{-1} x$ $\cos^{-1} x$ $\tan^{-1} \left( \frac{x}{\sqrt{1-x^2}} \right)$ $\sin^{-1} \left( \frac{x}{\sqrt{1-x^2}} \right)$
Q10. If $\sin \theta = \frac{1}{2}$, then $\theta$ can be:

$30^\circ$ $45^\circ$ $60^\circ$ $90^\circ$
Q11. Evaluate the limit: $\lim_{x \to 0} \frac{\tan^{-1}(x)}{x}$

1 0 Undefined 2
Q12. What is the value of tan(60°)?

1/√3 √3 1 0
Q13. For small angles $x$ in radians, which approximation is generally more accurate: $\sin(x) \approx x$ or $\sin(x) \approx x - \frac{x^3}{6}$?

$\sin(x) \approx x$ $x - \frac{x^3}{6}$ is less accurate Both are equally accurate $x - \frac{x^3}{6}$ is more accurate
Q14. The value of $\sin 10^{\circ} \sin 30^{\circ} \sin 50^{\circ} \sin 70^{\circ}$ is:

$\frac{1}{16}$ $\frac{1}{8}$ $\frac{1}{4}$ $1$
Q15. What is the value of cos(90°)?

0 1/2 1/√2 1
Q16. The value of $\frac{\tan 60^\circ}{\sec 30^\circ}$ is:

$\frac{1}{2}$ 2 $\frac{\sqrt{3}}{2}$ $\frac{2}{\sqrt{3}}$
Q17. If cos(θ) = 12/13, what is sin(90° - θ)?

12/13 5/13 13/12 13/5
Q18. The general form of a trigonometric series is:

a_0 + sum(a_n cos(nx) + b_n sin(nx)) sum(a_n cos(nx)) sum(b_n sin(nx)) a_0
Q19. Trigonometry is primarily used to solve problems involving:

Algebraic equations Geometric shapes Triangles Calculus
Q20. The value of $\tan 15^{\circ} + \cot 15^{\circ}$ is:

$2$ $2\sqrt{3}$ $4$ $1$

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