15. Suppose θ is an angle in standard position with the terminal side in the second quadrant. If

Question

Michael Jacobsen · Answer

Here, we&#x27;re trying to find out the value of cosine theta, where what we know about theta is that

Gaurav Kalra · Answer

If I draw a unit circle here, this is Y, this is X here. If I just draw here a unit circle, righ

Katelyn Chen · Answer

Because Theta is in quadrant 2, you know that the X value is negative and the Y value is positiv

Kathleen Carty · Answer

So sine of theta is 4 fifths and theta is in quadrant 1. I&#x27;m going to draw an angle theta in qua

Katelyn Chen · Answer

You know that cosine is the adjacent angle over the hypotenuse. In a unit circle, that would be

15. Suppose $\theta$ is an angle in standard position with the terminal side in the second quadrant. If $\cos(\theta) = -\frac{4}{5}$, then $\sin(\theta) + \tan(\theta)$ equals (A) $-\frac{3}{20}$ (B) $\frac{3}{20}$ (C) $-\frac{1}{5}$ (D) $\frac{1}{5}$ (E) $-\frac{2\sqrt{3}}{3}$