Question

Evaluate sin 300° without using a calculator.

Answer 1

`-√(3) /2`

Explanation:

300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.

Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees

sin(60°) =
`√(3) /2`

And since sine is negative, this value turns negative:

sin(300°) =
`-√(3) /2`