Find a cofunction with the same value as the given expression.
-$\csc 53 ^ { \circ }$
A) $\sec 37 ^ { \circ }$
B) $\sec 53 ^ { \circ }$
C) $\sin 53 ^ { \circ }$
D) $\sec 143 ^ { \circ }$

Question

Quizplus · Accepted Answer

Cofunctions are pairs of trigonometric functions that are equal when their angles sum to 90 degrees. Since $\csc \theta = \frac{1}{\sin \theta}$ and $\sec \theta = \frac{1}{\cos \theta}$, and knowing that $\sin \theta = \cos(90^\circ - \theta)$, the cofunction of $\csc 53^\circ$ that matches in value is $\sec 37^\circ$, because $53^\circ + 37^\circ = 90^\circ$.

Find a Cofunction with the Same Value as the Given csc⁡53∘\csc 53 ^ { \circ }csc53∘

Find a Cofunction with the Same Value as the Given $\csc 53 ^ { \circ }$