Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

3 sinA - 4 sin3 A = ?

Options:

cot3A

sin3A

cos3A

tan3A

Correct Answer:

sin3A

Explanation:

3 sinA - sin³A

Put A = 30º

= 3 sin30º - sin³30º

= 3 × \(\frac{1}{2}\) - 4 × (\(\frac{1}{2}\))³

= \(\frac{3}{2}\) -  \(\frac{1}{2}\)

=  \(\frac{2}{2}\)

= 1

By putting same value of A in all 4 options.

Now,

sin3A

= sin 3 × 30º

= sin90º

= 1

Ans:- sin3A