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Six Trigonometric Functions and Radians

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Radian Measure

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You probably are familiar with degrees in trig, but did you know there is another way to measure angles?

These are called Radians and unlike Degrees, do not have a unit.

Why don't radians have a unit? How are they derived? Look here for guidence

Converting Between Radians and Degrees 

.\pi Radians=180^\circ

To go from degrees to Radians multiply your degrees by \frac{\pi}{180^\circ }

To go from Radians to degrees multiply your radians by \frac{180^\circ }{\pi}

Tips and Tricks: Since we know that \pi=180^\circ , you can visualize \pi radians as being half a circle. Using this trick, fill out the table below.

Radians Degrees
\frac{\pi}{2}
\frac{\pi}{3}
\frac{\pi}{4}
\frac{\pi}{6}

Note: In upper level math Radians are prefered over degrees because they are unitless, so you should get used to Radians!

For extra practice, try these practice problems here.

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