Question

FIND THE VALUE OF x IF cos 2x = sin60 cos30 - cos60 sin 30

Answer 1

cos 2 x= √3/2*√3/2-1/2*1/2
              =3/4-1/4
               =2/4
               =1/2
       cos x=1/4

Answer 2

Answer:

The value of x is $\bold{30^{0}}$

Step-by-step explanation:

Step 1: We know that Sin 30 = 1/2 and cos 60 = 1/2.

Step 2: Substitute the above value in the given question

Cos 2x = A=πr^23/2*√3/2-1/2*1/2

Cos2x = 3/4-1/4

Cos2x = 1/2

Cos2x = cos 60  

Step 3: As we know that cos 60 = 1/2

2x = 60

X = 60/2 = 30

From the above solution, we come to the conclusion that the value of x is $30^{0}$.