If cos x = $\frac{3}{5}$, then find the

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos x = $\frac{3}{5}$, then find the value of sin x - sin³ x.

Options:

0.476

0.389

0.358

0.288

Correct Answer:

0.288

Explanation:

cosx = $\frac{3 }{5}$

{ cosx = $\frac{B }{H}$ }

P² + B² = H²

P² + 3² = 5²

P = 4

Now,

sinx - sin³x

= $\frac{4 }{5}$ - ($\frac{4 }{5}$)³

= $\frac{4 }{5}$ - $\frac{64 }{125}$

=$\frac{100 - 64 }{125}$

=$\frac{36 }{125}$

= 0.288