Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\cos (x-y)=\frac{\sqrt{3}}{2}$ and $\sin (x+y)=1$ where $x > y$, then the value of $y$ is:

Options:

30°

60°

90°

Correct Answer:

30°

Explanation:

We have,

$\cos (x-y)=\frac{\sqrt{3}}{2}$ and $\sin (x+y)=1$

(x-y)= $\frac{\sqrt{3}}{2}$ = 30o -------(1)

(x+y) = 1 = 90o -------(2)

From 1 and 2,

x = 60o and y = 30o