The terminal side of #theta# in standard position contains (3,0), how do you find the exact values of the six trigonometric functions of #theta#?

1 Answer
Jun 19, 2018

Answer:

See explanation.

Explanation:

If you have a point ion the terminal side #(x,y)# then you have to calculate the didtance between the point and the origin

#r=sqrt(x^2+y^2)#

#r=sqrt(0^2+3^2)=3#

Now the trig functions are defined as:

#sin theta=y/r#

#sin theta=0/3=0#

#cos theta=x/r#

#cos theta=3/3=1#

#tan theta=y/x#

#tan theta=0/3#

#cot theta=x/y#

#cot theta=3/0# #cot theta# is undefined.

#sec theta=r/x#

#sec theta=3/3=1#

#csc theta=r/y#

#csc theta=3/0# #csc theta# is undefined