If sinx = cos(30°+2x) fin

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sinx = cos(30°+2x) find the value of sin3x.

Options:

$\frac{\sqrt {3}}{5}$

$\frac{\sqrt {3}}{2}$

Correct Answer:

$\frac{\sqrt {3}}{2}$

Explanation:

If sinx = cos(30°+2x)

(x+30°+2x)=90°

3x = 60°

x=20°

Now, sin3x=sin3×20°

= sin60°

=$\frac{\sqrt {3}}{2}$