# Chapter 13 - The Trigonometric Functions - 13.1 Definitions of the Trigonometric Functions - 13.1 Exercises - Page 678: 6

$$\frac{{16\pi }}{9}{\text{radians}}$$

#### Work Step by Step

\eqalign{ & {\text{We know that }}{{\text{1}}^ \circ } = \frac{\pi }{{180}}{\text{radians}}{\text{. Thus}}{\text{,}} \cr & {320^ \circ } = 320\left( {\frac{\pi }{{180}}} \right){\text{radians}} \cr & {\text{Multiplying}} \cr & {320^ \circ } = \frac{{320\pi }}{{180}}{\text{radians}} \cr & {320^ \circ } = \frac{{16\pi }}{9}{\text{radians}} \cr}

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