If the cos 30° = square root 3 over 2, then the sin 60° = _____.

Solution:

Given, cos 30° = square root 3 over 2.

cos 30° = √3/2

We have to find the value of sin 60°

We know, the sine and cosine functions are complementary functions.

cos(x) = sin(90 - x) or

sin(x) = cos(90 - x)

Now, cos 30° = sin(90°- 30°)

cos 30° = sin 60°

So, sin 60° = √3/2

Therefore, the value of sin 60° is √3/2.

If the cos 30° = square root 3 over 2, then the sin 60° = _____.

Summary: 

If the cos 30° = square root 3 over 2, then the sin 60° = √3/2.