What are the exact values of the six trig functions of ϴ
when the cot(ϴ) is undefined and cos(ϴ) < 0?
cot(ϴ) =
which is undefined when y=0, which are at the
unit circle points (0,0), where ϴ = 0 and (-1,0) where ϴ = π.
cos(0) = 1 and cos(π) = -1, so since cos(ϴ) is < 0, ϴ must be π.
r = 1 on the unit circle:
sin(π) =
=
= 0
cos(π) =
=
= -1
tan(π) =
=
= 0
sec(π) =
=
= -1
csc(π) =
=
= undefined
cot(π) =
=
= undefined.
Edwin