SOLUTION: Please help me with this problem: Given the function f defined by f(x)=cos(x)-cos^2(x) (for -pi being less than or equal to x which is less than or equal to pi). Find the x-in

Algebra ->  Algebra  -> Functions -> SOLUTION: Please help me with this problem: Given the function f defined by f(x)=cos(x)-cos^2(x) (for -pi being less than or equal to x which is less than or equal to pi). Find the x-in      Log On

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Question 95649: Please help me with this problem:
Given the function f defined by f(x)=cos(x)-cos^2(x) (for -pi being less than or equal to x which is less than or equal to pi).
Find the x-intercepts of the graph of f.

Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
Given the function f defined by f(x)=cos(x)-cos^2(x) (-pi <= x <= pi).
Find the x-intercepts of the graph of f.
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Let f(x)=0
cos^2(x)-cos(x) = 0
[cos(x)][cos(x)-1]=0
cosx = 0 or cosx = 1
x = pi/2 or x = 0
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Cheers,
Stan H.