How do you find the values of the six trigonometric functions given #tantheta# is undefined and #pi<=theta<=2pi#?

Question

23432 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-22T22:52:44

See below

#tantheta="undefined"# and #pi <= theta <= 2pi#

#tantheta=sintheta/costheta#

Since #tantheta# is undefined, #costheta=0#. Therefore #theta=3/2pi#.

#sin(theta)=sin(3/2pi)=-1#

#csc(theta)=1/sintheta=-1#

#sec(theta)=1/costheta="undefined"#

#cot(theta)=costheta/sintheta=0#