Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\sqrt{2} \sin(60^\circ - \alpha) = 1, 0^\circ < \alpha < 90^\circ$, then $\alpha$ is equal to:

Options:

$45^\circ$

$30^\circ$

$15^\circ$

$60^\circ$

Correct Answer:

$15^\circ$

Explanation:

√2 sin (60º - α) = 1

sin (60º - α) = \(\frac{1}{√2 }\)

{ we know, sin 45º = \(\frac{1}{√2 }\) }

So,  α = 45º