Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of cos2 15°?

Options:

$(2+\sqrt{3})$

$\frac{(2+\sqrt{3})}{4}$

$\frac{(2+\sqrt{3})}{2}$

$\frac{(1+\sqrt{3})}{2}$

Correct Answer:

$\frac{(2+\sqrt{3})}{4}$

Explanation:

cos15° = \(\frac{√3 + 1 }{2√2}\)

Now , cos2 15° = (\(\frac{√3 + 1 }{2√2}\))2

= \(\frac{3 + 1  + 2√3 }{8}\)

= \(\frac{4 + 2√3 }{8}\) 

= \(\frac{2  + √3 }{4}\)