Question

if cos X=cos60 cos30 +sin60 sin 30 find the value of X

Answer 1

Hey!

Given Condition :-

cosx = cos60 cos30 + sin60 sin30

$\cos(x) = \frac{1}{2} \times \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2} \times \frac{1}{2}$

• Trigonometric Values :-


$\cos(60) = \frac{1}{2} \\ \\ \cos(30) = \frac{ \sqrt{3} }{2}$


$\sin(30) = \frac{1}{2}$




$\cos(x) = \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4}$


$\cos(x) = \frac{2 \sqrt{3} }{4}$

$\cos(x) = \frac{ \sqrt{3} }{2}$

$x = 30$

Answer 2

Answer:

Step-by-step explanation: