Question

prove that √1+cos60/2=cos30​

Answer 1

Answer:

See the explanation

Step-by-step explanation:

$\sqrt{\frac{1+\cos 60^\circ}{2}}=\sqrt{\frac{1+\frac{1}{2}}{2}}\\=\sqrt{\frac{\frac{3}{2}}{2}}=\sqrt{\frac{3}{4}}=\frac{\sqrt 3}{2}=\cos 30^\circ$

(Since $\cos 60^\circ=\frac{1}{2},\cos30^\circ=\frac{\sqrt 3}{2}$ )