Question

If sin3A=-root 3 / 2 , find the values of A where 0 degrees is greater to or equal than A is greater to or equal than 360 degrees

Answer 1

A is 20°

Explanation:

Given sin3A = (√(3))/2. To find A we firstly take the sin^-1 of both sides and we have:

3A = sin^-1(√(3)/2)

We know that sin60° = √(3)/2. Therefore, sin^-1(√(3)/2) = 60°. Hence, we have

3A = 60°.

To get A, divide both sides by 3:

.A = 20°. Therefore, A is 20°.