Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of sin60° cos30° - cos60° sin30° is :

Options:

$\frac{1}{2}$

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

1

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

Correct Answer:

$\frac{1}{2}$

Explanation:

sin60° cos30° - cos60° sin30°

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

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

= \(\frac{2 }{4}\) 

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