Question

How do you find the values of `theta` given `tantheta=1`?

Answer 1

See explanation

Explanation:

`tantheta=1`

You then do inverse tan to find what it is in degrees or radians:

`tan^-1(1)`= `45^o` or `pi/4`

On the tan graph the point 1 is repeated but at a different angle so you add `180^o` to `45^o` since it is positive. You use the 'CAST' diagram:
C- cosine is positive so you do `360^o` - angle( angle you calculated)
A- all are positive
S- sine is positive so you do `180^o`- angle
T- tan is positive so you do `180^o`+ angle

180+45= 225 degrees or `3.93 rad`