## anonymous one year ago cannot figure out how to express the answer as multiples of pie 105 degree's being converted to radians

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1. zepdrix

$$\large\rm \pi$$ radians on the unit circle is equivalent to $$\large\rm 180^o$$.$\large\rm \pi=180^o$Dividing by 180 degrees gives us:$\large\rm \frac{\pi}{180^o}=1$So we can take our angle, and multiply it by this special 1,$\large\rm 105^o\cdot\color{orangered}{1}=105^o\cdot\color{orangered}{\frac{\pi}{180^o}}$Cancel out the units, degrees, from top and bottom,$\large\rm =\frac{105\pi}{180}$And simplify! :)