Determine the signs of the given trigonometric functions of an angle in standard position with the given measure.
-$$\sin \theta = 0.6 \text { and } \csc \theta = - 0.6$$
A)Possible
B)Impossible

Question

Quizplus · Accepted Answer

The sine of an angle ($\sin \theta$) and its reciprocal function, the cosecant ($\csc \theta$), must have the same sign because $\csc \theta = \frac{1}{\sin \theta}$. If $\sin \theta = 0.6$, then $\csc \theta$ should be positive as well, contradicting the given $\csc \theta = -0.6$.

Determine the Signs of the Given Trigonometric Functions of an Angle