Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 63: 8

$\csc$ 145$^{\circ}$ 45' = 1.77681457

$\csc$ 145$^{\circ}$ 45' First, convert to a fraction $\csc$ 145$^{\circ}$ $\frac{45}{60}$ Convert the fraction to a decimal $\frac{45}{60}$ = 0.75 Therefore: $\csc$ 145$^{\circ}$ 45' = $\csc$ 145.75$^{\circ}$ $\csc$ 145.75$^{\circ}$ = $\frac{1}{\sin145.75}$ $\frac{1}{\sin13.25}$ = 1.77681457 $\csc$ 145$^{\circ}$ 45' = 1.77681457