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Find the exact six trigometric values of the angle 270 degrees

User Mapedd
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1 Answer

13 votes
13 votes

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:


(\cos\theta,\sin\theta)

This means:


\begin{gathered} \cos270=0 \\ \sin270=-1 \end{gathered}

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

Find the exact six trigometric values of the angle 270 degrees-example-1
User Ramnath
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