Question

How to find the value of tan(855) degrees ?

Answer 1

-1

Explanation:

For any degree over 360, subtract intervals of 360 off until it is less, for example

`855-360=495-360=135`

So you are looking for `tan(135)` this is halfway between 90 and 180 degrees. This means it behaves like 45 degrees, but with cos being the negative of `cos(45)`, since `tan(45)` is 1 `tan(135)` is -1.

Answer 2

`-1`

Explanation:

subtract multiples of `360^0` until we have

`0 < theta <360`

`tan(855)=tan(855-720)=tan135`

this is in `QII`

`tan135=-tan45=-1`