Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$. Give the exact value of the indicated trig function for $\theta$. Rationalize the denominator if necessary. If the function is undefined, say so.
-$( 12,16 )$; find $\csc \theta$.
A) $\frac { 3 } { 4 }$
B) $\frac { 4 } { 3 }$
C) $\frac { 5 } { 3 }$
D) $\frac { 5 } { 4 }$

Question

Quizplus · Accepted Answer

The point (12, 16) gives a right triangle with legs 12 and 16. The hypotenuse is $\sqrt{12^2 + 16^2} = 20$. $\csc \theta = \frac{1}{\sin \theta} = \frac{\text{hypotenuse}}{\text{opposite}} = \frac{20}{16} = \frac{5}{4}$.

Suppose That θ\thetaθ Is in Standard Position and the Given Point Is on Point

Suppose That $\theta$ Is in Standard Position and the Given Point Is on Point