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#?

Question

14599 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-19T08:19:32

See 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=0/3=0#

#cos theta=3/3=1#

#tan theta=0/3#

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

#sec theta=3/3=1#

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