How do you find the exact values of the six trigonometric function of #theta# if the terminal side of #theta# in the standard position contains the point (-1,0)?

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Answer 1 · 2018-08-01T12:28:44

Please see below.

Given that ,terminal side of #theta # in the standard position contains the point #(-1,0)#

Let us use the unit circle.

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So, #theta=pi,3pi,5pi,...etc.#

#:.sintheta=sinpi=sin3pi=...=0 #

#andcostheta=cospi=cos3pi=...=-1#

Hence,

#(1)sintheta=0#

#(2)costheta=-1#

#(3)tantheta=(sintheta)/(costheta)=0/(-1)=0#

#(4)csctheta=1/sintheta=1/0to "undefined"#

#(5)sectheta=1/costheta=1/(-1)=-1#

#(6)cottheta=1/tantheta=1/0to "undefined"#