Question

What is -340 degrees in radians? Express the answer in terms of `Pi`

Answer 1

`-340^\circ=-340\times \pi/180=-{17\pi}/9\ \text{radians}`

Answer 2

`-(17pi)/9`

Explanation:

`"to convert from "color(blue)"degree to radian measure"`

`color(red)(bar(ul(|color(white)(2/2)color(black)("radian measure "="degree measure "xxpi/180)color(white)(2/2)|)))`

`"radian "=-cancel(340)^(17)xxpi/cancel(180)^9=-(17pi)/9`

`"to convert from "color(blue)"radian to degree measure"`

`color(red)(bar(ul(|color(white)(2/2)color(black)("degree measure "=" radian measure "xx180/pi)color(white)(2/2)|)))`

`"degree "=-(17cancel(pi))/cancel(9)^1xxcancel(180)^(20)/cancel(pi)=-340`