Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $sinθ=\frac{\sqrt{3}}{2}$, and θ is an acute angle, find the value of cos3θ ?

Options:

$\frac{1}{2}$

1

-1

0

Correct Answer:

-1

Explanation:

sinθ = \(\frac{ √3}{2}\)

{ we know, sin30º = \(\frac{ √3}{2}\) }

So,  θ = 30º

Now, cos 3θ

= cos (3 × 30º)

= cos 90º

= 1    {  We know, cos 90º = 1 }