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

1 Answer
Zero Two
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#

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