Question

Find the value of the given trigonometric function by finding the reffende angle x and the attaching proper sign Tan 287° What is the representation of tan 287° using reference angle x

Answer 1

-tan(73°)

Explanation:

The reference angle is the smallest angle between the terminal ray and the x-axis. Here, the terminal ray is in the 4th quadrant, so the reference angle will be ...

ref∠ = 360° -287° = 73°

In the 4th quadrant, the tangent is negative, so we have ...

tan(287°) = -tan(73°)