Question

If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ? (1 point)

Answer 1

Answer:

There are two options: b) $\frac{\sqrt{15}}{4}$, c) $\sqrt{15}$.

Step-by-step explanation:

By Trigonometry, we know that function tangent is equal to the following identity in terms of functions sine and cosine:

$\tan \theta = \frac{\sin \theta}{\cos \theta}$ (1)

If we know that $\tan \theta > 0$ and $\sin \theta = \frac{1}{4}$, then $\cos \theta > 0$. Hence, we have two possibilities: b) $\frac{\sqrt{15}}{4}$, c) $\sqrt{15}$.