SOLUTION: Could you help me with this problem? What is the period and graph of y=2 cot(x+ pie over 2)? Thank you very much for your help! Sarah McGuire

Algebra ->  Trigonometry-basics -> SOLUTION: Could you help me with this problem? What is the period and graph of y=2 cot(x+ pie over 2)? Thank you very much for your help! Sarah McGuire      Log On


   

Question 66173: Could you help me with this problem?
What is the period and graph of y=2 cot(x+ pie over 2)?
Thank you very much for your help!
Sarah McGuire
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the period and graph of y=2 cot(x+ pie over 2)?
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Form: y=acot(bx+c)+d
a=2, b=1, c=pi/2,
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Period = pi/b=pi=180 degrees
Phase Shift = -c/b= -pi/2=-45 degrees
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Cannot graph functions like this on this site.
graph%28600%2C400%2C-360%2C360%2C-3%2C3%2C2cot%28x%2B90%29%29
Vertical asymptotes occur at x=-pi/2=-45 degrees
and +pi/2=45 degrees.
Remember, cot is a decreasing function.
Cheers,
Stan H.