Respuesta :

A reference angle is the angle created by the terminal arm and X-axis, and must be in the same quadrant as the terminal arm.

The given angle is 255°. It is located at quadrant III, then we can find the reference angle by subtracting 180°:

[tex]255\degree-180\degree=75\degree[/tex]

The sin of 75 is:

[tex]\sin 75\degree=0.9659[/tex]

In quadrant III, the sine is negative, then the sin of 255° is equal to the sine of 75° but negative. So:

[tex]\sin 255\degree=-0.9659[/tex]

The answer is option C. sin75=0.9659 sin255=-0.9659

Answer:

The answer is option C. sin75=0.9659 sin255=-0.9659

Step-by-step explanation: