Question

Evaluate sin 300 degrees and leaving the answer in surd

Answer 1

To evaluate sin 300 degrees, we can use the angle sum identity for sine which states that sin(180 + θ) = -sin(θ).

So, sin 300 degrees = sin(180 + 120) = -sin(120).

Since sin 120 degrees is a special angle, we can express it in surd form using the unit circle or trigonometric identities.

sin 120 degrees = sin(180 - 60) = sin(180 - 3 * 20) = sin(180 - 3 * 60) = -sin(60) = -√3/2

Therefore, sin 300 degrees = -(-√3/2) = √3/2

So, sin 300 degrees in surd form is √3/2.