Question

rewrite sec 48° in terms of its cofunction. sec 48° = (type an exact answer. simplify your answer. type any angle measures in degrees. do not include the degree symbol 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 \(\theta = 48^{\circ}\) into the identity

When \(\theta = 48^{\circ}\), we have \(\sec48^{\circ}=\csc(90 - 48)\).

Step3: Calculate the value of the angle

\(90-48 = 42\).

Answer:

\(\csc42\)