Question

Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ

Answer 1

Answer: -20/21

Step-by-step explanation:

Using the Pythagorean identity, we can get that the sine of angle theta is $\pm 20/29$.

But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.

Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21