Question

Use the unit circle to find tan 360°

Answer 1

This would be 0

There is a REALLY good video on YT by the Organic Chemistry Tutor called Unit Circle Trigonometry and that is what got me through without dying. You should watch it, he explains everything really well.

Hope this helps :)

Answer 2

`\tan 360\degree=0`

Explanation:

We want to use the unit circle to find the value of

`\tan 360\degree`

`\tan 360\degree=(\sin 360\degree)/(\cos360\degree)`

Note that
`360\degree` makes an angle of 0 degrees with the positive x-axis.

This implies that;

`\tan 360\degree=(\sin 0\degree)/(\cos 0\degree)`

On the unit circle,
`cos 0\degree=1, \sin0\degree`

`\tan 360\degree=(0)/(1)=0`