The given angle is: 270°
If we observe in the unit circle, it is located at the coordinates (0,-1):
Now, the coordinates in the unit circle are given by:
This means:
By knowing this, we can find the rest of the trigonometric values as follows:
![\begin{gathered} \tan270=(\sin270)/(\cos270)=(-1)/(0)=undefined \\ \\ cot270=(\cos270)/(\sin270)=(0)/(-1)=0 \\ \\ sec270=(1)/(\cos270)=(1)/(0)=undefined \\ \\ csc270=(1)/(\sin270)=(1)/(-1)=-1 \end{gathered}]()
The answer are:
tan(270)=undefined
cot(270)=0
sec(270)=undefined
csc(270)=-1