QuestionFind the other trigonometric functions of $\theta$ if $\tan \theta=-\frac{3}{4}$ in quadrant II.

Studdy Solution
Finally, we find $\csc \theta$, which is the reciprocal of $\sin \theta$.
$$\csc \theta = \frac{1}{\sin \theta} = \frac{1}{-\frac{3}{5}} = -\frac{5}{3}$$So, the exact values of the remaining trigonometric functions of $\theta$ are$$\sin \theta = -\frac{3}{5}$$$$\cos \theta = -\frac{4}{5}$$$$\csc \theta = -\frac{5}{3}$$