Answer
$\sec 56.7^{\circ}$ = $1.8214$
$\csc 33.3^{\circ}$ = $1.8214$
Thus, results justify the Cofunction Theorem.
Work Step by Step
Given pair is-
$\sec 56.7^{\circ}$ , $\csc 33.3^{\circ}$
Using reciprocal identities-
$\frac{1}{\cos 56.7^{\circ}}$ , $\frac{1}{\sin 33.3^{\circ}}$
Using calculator in degree mode-
(56.7 → $\cos$) and ( 33.3 → $\sin$)
$\frac{1}{0.549022818}$ , $\frac{1}{0.549022818}$
Now using calculator for reciprocal-
$1.8214179215$ , $1.8214179215$
Rounding to four places past the decimal point-
$1.8214$ , $1.8214$
i.e
$\sec 56.7^{\circ}$ = $1.8214$
$\csc 33.3^{\circ}$ = $1.8214$
Thus, results justify the Cofunction Theorem.
