Answer
$\sec 34.5^{\circ}$ = $1.2134$
$\csc 55.5^{\circ}$ = $1.2134$
Thus, results justify the Cofunction Theorem.
Work Step by Step
Given pair is-
$\sec 34.5^{\circ}$ , $\csc 55.5^{\circ}$
Using reciprocal identities-
$\frac{1}{\cos 34.5^{\circ}}$ , $\frac{1}{\sin 55.5^{\circ}}$
Using calculator in degree mode-
(34.5 → $\cos$) and ( 55.5 → $\sin$)
$\frac{1}{0.8241261886}$ , $\frac{1}{0.8241261886}$
Now using calculator for reciprocal-
$1.2134064101$ , $1.2134064101$
Rounding to four places past the decimal point-
$1.2134$ , $1.2134$
i.e
$\sec 34.5^{\circ}$ = $1.2134$
$\csc 55.5^{\circ}$ = $1.2134$
Thus, results justify the Cofunction Theorem.
