SOLUTION: sqrt(9-x^2) where x=3sin...i understand it is factoring and i know the answer is 3|cos| i just am having problems so i see the question to this point sqrt(9-3sin^2)

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Question 567036: sqrt(9-x^2) where x=3sin...i understand it is factoring and i know the answer is 3|cos| i just am having problems so i see the question to this point
sqrt(9-3sin^2)

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


  <-- notice that the 3 must be inside parentheses
                as a coefficient of sin(x). That was an
                error you made.  That is, the 3 is squared
                along with the sin(x).  The way you had it
                the 3 was not squared as it should have been.  













Since the cosine is sometimes negative, but
the square root of its square when written with a
radical is never negative.  Therefore we must
put absolute value bars around the square root to
prevent it from ever being negative:

Answer 

Edwin

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