evaluate the sine, cosine, and tangent of the angle without using a calculator.

Question

angle is 300 degrees

Answer 1

The angle is 300 degrees.

The angle 300 degrees lies in fourth quadrant.

The reference angle is 360 - 300 = 60 degrees.

The sine is negative in fourth quadrant, so sin 300 = - sin 60 = - sqrt(3)/2.

The cosine is positive in fourth quadrant, so cos 300 = cos 60 = 1/2.

The tangent is negative in fourth quadrant, so tan 300 = - tan 60 = - sqrt(3).

The values of sin 300 = - sqrt(3)/2, cos 300 = 1/2 and tan 300 = - sqrt(3).