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Determine the point on the graph of the unit circle that corresponds to pi. Then find cos pi and sin pi, and state which functions are undefined for pi.

Determine The Point On The Graph Of The Unit Circle That Corresponds To Pi Then Find Cos Pi And Sin Pi And State Which Functions Are Undefined For Pi class=

Sagot :

The entire unit circle measures 2pi, then, pi corresponds to the half of the unit circle. It is located at the point (-1,0).

The cosine of pi is equal to the x-coordinate, and the sin of pi is equal to the y-coordinate of the point pi.

Since it is located at (-1,0) thus the cos(pi)=-1 and sin(pi)=0.

The functions that are undefined for pi are those which have sin(pi) as denominator, let's check:

[tex]\begin{gathered} \csc (\pi)=\frac{1}{\sin(\pi)}=\frac{1}{0}=undef \\ \cot (\pi)=\frac{\cos (\pi)}{\sin (\pi)}=\frac{-1}{0}=undef \end{gathered}[/tex]