Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Trigonometry

Total Questions: 20

Q1. The product-to-sum formula for 2 sin A sin B is:

cos(A-B) - cos(A+B) cos(A+B) - cos(A-B) sin(A+B) + sin(A-B) sin(A+B) - sin(A-B)
Q2. If $\tan \theta = 1$, what is the value of $\cot^2 \theta$?

$1$ $-1$ $0$ undefined
Q3. If $\tan(x) = \frac{a}{b}$, then the value of $\frac{a\sin(x) + b\cos(x)}{a\sin(x) - b\cos(x)}$ is:

$\frac{a^2+b^2}{a^2-b^2}$ $\frac{2ab}{a^2-b^2}$ $\frac{a^2+b^2}{2ab}$ $\frac{2ab}{b^2-a^2}$
Q4. Evaluate $\int \frac{\cot^2 x}{\sin x} \ dx$

$-\frac{1}{3}\csc^3 x + \csc x + C$ $-\frac{1}{3}\csc^3 x - \csc x + C$ $-\csc^3 x + \csc x + C$ $-\csc^3 x - \csc x + C$
Q5. What is the value of $\lim_{x \to 0} \frac{x}{\sin x}$?

0 1 -1 $\infty$
Q6. For a function f(x) = c (a constant), its trigonometric series representation is:

c 0 c + 0 sum(c)
Q7. What is the reciprocal of tan(θ)?

sin(θ) cos(θ) cosec(θ) cot(θ)
Q8. Which trigonometric ratio is always positive in the first quadrant?

$\sin \theta$ $\cos \theta$ $\tan \theta$ All of them
Q9. What is the value of cos(90°)?

0 1 1/2 √3/2
Q10. What is the value of sin(360°)?

0 1/2 1/√2 1
Q11. If cos(θ) = 1/√2, then what is the value of θ?

30° 45° 60° 90°
Q12. The value of $\frac{\sin 30^\circ}{\cos 60^\circ}$ is:

$0$ $1$ $2$ $\frac{1}{2}$
Q13. Convert 45 degrees to radians.

π/6 π/4 π/3 π/2
Q14. Trigonometry is the branch of mathematics that studies the relationship between:

Angles and lines Sides and areas of geometric shapes Angles and sides of triangles Circles and their properties
Q15. If $y = \tan^{-1}(\frac{\sqrt{1+x^2}-1}{x})$, then $\frac{dy}{dx}$ is:

$\frac{1}{2(1+x^2)}$ $-\frac{1}{2(1+x^2)}$ $\frac{1}{2x(1+x^2)}$ $-\frac{1}{2x(1+x^2)}$
Q16. Calculate the value of $\sin 60^{\circ} \times \cos 30^{\circ}$.

$\frac{1}{2}$ $1$ $\frac{3}{4}$ $0$
Q17. If f(x) = x^2, then the coefficient a_0 in its Fourier series is:

0 pi^2/3 2pi^2/3 pi^2
Q18. Two observers are on the same side of a tall tower. The angles of elevation of the top of the tower from the observers are 30 degrees and 60 degrees. If the distance between the observers is 40 meters, what is the height of the tower?

20√3 meters 40√3 meters 30√3 meters 60√3 meters
Q19. A ladder of length 15 meters is placed against a wall. The angle made by the ladder with the ground is 60 degrees. How far is the foot of the ladder from the wall?

7.5 meters 7.5√3 meters 15 meters 15/√3 meters
Q20. What is the value of tan 225°?

1 -1 √3 -√3

Seamless prep with the tools you already use.

Study across devices, save bookmarks, get smart reminders, and track progress—so your mock tests and AI plans stay in sync.

Start free Browse exams

Elevate your prep today

Streamline practice, track weak topics, and improve faster with AI-guided revision. Try Meltwish free.

Create Free Account