How do you convert -105 degrees to radians?

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How do you convert -105 degrees to radians?

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Answer 1 · 2015-12-16T13:23:52

$\times \frac{7 π}{12} x radian$ $color(white)(xx)(7pi)/12color(white)(x) "radian"$

Explanation:

$\times 1 x degree = \frac{π}{180} x radian$ $color(white)(xx)1color(white)(x)"degree"=pi/180color(white)(x) "radian"$

$\Rightarrow - 105 x degrees = \frac{- 105 π}{180} x radian$ $=>-105color(white)(x)"degrees"=(-105pi)/180color(white)(x) "radian"$
$\times \times \times \times \times = \frac{- 105 π}{180} x radian$ $color(white)(xxxxxxxxxx)=(-105pi)/180color(white)(x) "radian"$
$\times \times \times \times \times = \frac{- 105 π \times 15}{180 \times 15} x radian$ $color(white)(xxxxxxxxxx)=(-105picolor(red)(xx15))/(180color(red)(xx15))color(white)(x) "radian"$
(Multiply both the numerator and denominator by $15$ $color(red)15$ )
$\times \times \times \times \times = \frac{7 π}{12} x radian$ $color(white)(xxxxxxxxxx)=(7pi)/12color(white)(x) "radian"$

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How do you convert -105 degrees to radians?

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