Question

cos60° cos30°+ sin60° sin30° = cos30°​

Answer 1

Answer:

Step-by-step explanation:

Cos60 = $\frac{1}{2}$

Cos30 = $\frac{\sqrt{3} }{2}$

sin60 = $\frac{\sqrt{3} }{2}$

Sin30 = $\frac{1}{2}$

cos60° cos30°+ sin60° sin30° = cos30°​

$(\frac{1}{2}) *(\frac{\sqrt{3} }{2} )+(\frac{\sqrt{3} }{2} )*(\frac{1}{2} )=\frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{4} +\frac{\sqrt{3} }{4}=\frac{\sqrt{3} }{2} \\\\\\\frac{2\sqrt{3} }{4} =\frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =\frac{\sqrt{3} }{2}$