Answer
$\frac{1}{\csc(90 - 51)}$ = 0.62932039
Work Step by Step
$\frac{1}{\csc(90 - 51)}$
Given the identity $\csc$(90$^{\circ}$ - $\theta$) = $\sec$$\theta$
$\csc$(90$^{\circ}$ - 51$^{\circ}$) = $\sec$ 51$^{\circ}$
Therefore:
$\frac{1}{\csc(90 - 51)}$ = $\frac{1}{\sec 51}$
Given the identity $\frac{1}{\sec\theta}$ = $\cos$ $\theta$
$\frac{1}{\sec 51}$ = $\cos$ 51$^{\circ}$
$\cos$ 51$^{\circ}$ = 0.62932039
Therefore:
$\frac{1}{\csc(90 - 51)}$ = 0.62932039
