Question 578169: In class we are learning how to find the six trigonometric functions when given a point P of angle theta. If the function is undefined we write "undefined". My problem is I am given point P(-3,0). This is on the 180 degree mark on the unit circle and I don't know how to find the trig functions of it. Please help me!
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! The way I do this ( and I'm really serious ), is
I imagine a line from the center of the circle
getting closer and closer to the 180 degree line.
(1) What is happening to the sin(theta)?
It's getting closer and closer to 0/1, until it
finally equals zero ( opposite/hypotenuse)
(2) What is happening to the cos(theta)?
It is getting closer to 1/1, until it finally
becomes 1
(3) What happens to tan(theta)?
It is getting closer to 0/1 until it becomes
zero
(4) cot(theta) gets closer to 1/0, which is infinity
This is an asymptote
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Use this for the other functions
This really helps me. I hope it works for you.
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