Question

Solve the following, where 0° < θ < 360°.
If cos θ=2/3 and tan θ<0
Find θ.

Answer 1

The angle θ = 312°.

Explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°