Assume that $ \theta $ is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.
-$\cot \theta = \frac { 5 } { 12 } ; \csc \theta$
A) $\frac { 12 } { 5 }$
B) $\frac { 13 } { 12 }$
C) $\frac { 5 } { 12 }$
D) $\frac { 12 } { 13 }$

Question

Quizplus · Accepted Answer

In a right triangle, $\cot \theta = \frac{adjacent}{opposite} = \frac{5}{12}$. Using the Pythagorean theorem, the hypotenuse is $\sqrt{5^2 + 12^2} = 13$. Therefore, $\csc \theta = \frac{hypotenuse}{opposite} = \frac{13}{12}$.

Assume That θ \theta θ Is an Acute Angle in a Right Triangle Satisfying the a Right

Assume That $\theta$ Is an Acute Angle in a Right Triangle Satisfying the a Right