Question

Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

Answer 1

Answer: -3.274

Explanation:

Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.

Since tan = sin/cos, its approximate value is 0.956/-0.292, which is about -3.274.