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

Mar 29, 2017

See explanation

Explanation:

$\tan \theta = 1$

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

${\tan}^{-} 1 \left(1\right)$= ${45}^{o}$ or $\frac{\pi}{4}$

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 $3.93 r a d$