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

1 Answer
Mar 29, 2017

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