Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan 2x = cot(2x - 30°) find the value of sin3x.

Options:

\(\frac{1}{\sqrt {2}}\)

-1

0

1

Correct Answer:

1

Explanation:

If tan 2x = cot(30°+2x)

(2x - 30° + 2x)=90°

4x = 120°

x = 30°

Now, sin 3x=sin3 × 30°

sin90° = 1