Question

rewrite sec 25° in terms of its cofunction.
sec 25° =
(type an exact answer. simplify your answer. type any angle measures in your answer.)

Explanation:

Step1: Recall the co - function identity for secant

The co - function identity is \(\sec\theta=\csc(90^{\circ}-\theta)\)

Step2: Substitute \(\theta = 25^{\circ}\) into the identity

When \(\theta = 25^{\circ}\), we have \(\sec25^{\circ}=\csc(90^{\circ}- 25^{\circ})\)

Step3: Calculate the angle

\(90^{\circ}-25^{\circ}=65^{\circ}\)

Answer:

\(\csc65^{\circ}\)