(cos^4 \frac{\pi}{12} - sin^4 \frac{\pi}{12}) is equal to | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

$cos^4 \frac{\pi}{12} - sin^4 \frac{\pi}{12}$ is equal to

A

$\frac1{2}$

B

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

C

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

D

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

E

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

Answer

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

Explanation

Solution

The correct option is (B): $\frac{\sqrt{3}}{2}$