Question

If 270°<θ<360°, and tan⁡ θ= - 1/2, what is the value of tan⁡(−θ)?

Answer 1

Check the picture below.

let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.

since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.