QuestionFind all trigonometric functions of $\theta$ if $\sec \theta = -8$ and $\sin \theta > 0$. What is $\sin \theta$?

Studdy Solution
Take the square root of the fraction.
$$\sin \theta = \frac{\sqrt{63}}{8}$$Since we know that $\sin \theta >0$, we keep the positive root.
So, $\sin \theta = \frac{\sqrt{63}}{8}$ is the exact value of the sine function.