Use the special triangles on the unit circle to determine 0 in degrees when sin 0 = √3/2.
To determine θ when sin θ = √3/2, we need to use the special triangles on the unit circle.
The special triangle that includes the angle θ when sin θ = √3/2 is the 30-60-90 triangle (also known as the equilateral triangle when one side is the radius of the unit circle).
In the 30-60-90 triangle, the ratio of the opposite side to the hypotenuse is √3/2.
So, when sin θ = √3/2, the angle θ must be 60 degrees (or π/3 radians).