Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What will be the value of sin 10° - 4/3 sin310° ?

Options:

$\frac{1}{3\sqrt{3}}$

$\frac{1}{6}$

$\frac{1}{2\sqrt{3}}$

$\frac{\sqrt{3}}{6}$

Correct Answer:

$\frac{1}{6}$

Explanation:

sin 10° - \(\frac{4}{3}\)sin310° 

= \(\frac{3sin 10° - 4 sin310° }{3}\)

We know , 3sin A - 4 sin3A = sin 3A

= \(\frac{sin 3 × 10°  }{3 }\)

= \(\frac{1}{3}\) × \(\frac{1}{2}\)

= \(\frac{1}{6}\)