If tanx = cot(45°+2x) find the value

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tanx = cot(45°+2x) find the value of sin3x.

Options:

$\frac{1}{2}$

$\frac{1}{\sqrt {2}}$

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

Correct Answer:

$\frac{1}{\sqrt {2}}$

Explanation:

If tanx = cot(45°+2x)

(x+45°+2x)=90°

3x=45

x=15

Now, sin3x=sin3×15

=$\frac{1}{\sqrt {2}}$