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# Six Trigonometric Functions and Radians

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Practice Six Trigonometric Functions and Radians
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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.