Trigonometry Mock Test | Quantitative Aptitude | SSC CGL

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Trigonometry

Total Questions: 20

Q1. What is cos(60°)?

1/2 √3/2 1/√2 0
Q2. What is the value of sin²(45°) + cos²(45°)?

0 1 2 1/2
Q3. If tan(θ) = √3, then what is the value of θ?

30° 45° 60° 90°
Q4. If $\sin(\alpha + \beta) = \sin \alpha \cos \beta + \cos \alpha \sin \beta$ and $\sin(\alpha - \beta) = \sin \alpha \cos \beta - \cos \alpha \sin \beta$, what is the value of $\sin(75^{\circ}) - \sin(15^{\circ})$?

$\frac{\sqrt{3}}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$ $\frac{\sqrt{2}}{2}$
Q5. Evaluate the limit: $\lim_{x \to 0} \frac{x + \sin(x)}{x - \sin(x)}$

1 0 Undefined -1
Q6. What is tan(180°)?

0 1 -1 undefined
Q7. The value of $\cos(10^{\circ})\cos(50^{\circ})\cos(70^{\circ})$ is:

$\frac{1}{8}$ $\frac{1}{4}$ $\frac{1}{2}$ $\frac{\sqrt{3}}{8}$
Q8. What is the value of $\cot(90^{\circ})$?

$0$ $1$ undefined $-1$
Q9. What is sin(270°)?

0 1 -1 1/2
Q10. What is the value of sin(3π/2)?

1 0 -1 1/2
Q11. What is the amplitude of the function y = 5sin(x/2)?

1/2 2 5 5/2
Q12. What is sin(90°)?

0 1/2 1/√2 1
Q13. If $\sin(x) = \frac{3}{5}$ and $\cos(y) = \frac{12}{13}$, where $x$ and $y$ are acute angles, find the value of $\cos(x-y)$.

$\frac{63}{65}$ $\frac{33}{65}$ $\frac{56}{65}$ $\frac{16}{65}$
Q14. For a small angle $\theta$ in radians, which approximation is most accurate for $\tan(\theta)$?

$\theta$ $1 - \frac{\theta^2}{2}$ $\theta - \frac{\theta^3}{3}$ $\theta - \frac{\theta^3}{6}$
Q15. What is the value of sin(180° - θ)?

sin(θ) cos(θ) -sin(θ) -cos(θ)
Q16. What is the value of tan(30°)?

1 1/2 √3 1/√3
Q17. If tan(x) = 0, what is a possible value of x?

0 degrees 30 degrees 45 degrees 90 degrees
Q18. Find the derivative of $e^{\sin(x)}$ with respect to $x$.

$e^{\cos(x)}$ $e^{\sin(x)}\cos(x)$ $e^{\sin(x)}\sin(x)$ $e^{\sin(x)}$
Q19. Two observers are at distances 'a' and 'b' from the base of a tower of height 'h'. They are on the same side of the tower. The angles of elevation of the top of the tower from these observers are complementary. If the distance between the observers is 'd', find the height of the tower.

sqrt(ab) d / sqrt(ab) d * sqrt(ab) sqrt(a^2 + b^2)
Q20. If sin(x) = 1/2, what is the value of x in the range [0, 90 degrees]?

30 degrees 45 degrees 60 degrees 90 degrees

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