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    amy440's Avatar
    amy440 Posts: 2, Reputation: 1
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    #1

    Dec 7, 2011, 10:53 PM
    Max value f(x)=3sin(3x) 4cos(3x)
    Can anybody solve f(x)=3sin(3x) 4cos(3x) by algebraically with trig identically...
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Dec 8, 2011, 07:32 AM
    Are you asking to find the maximum value of

    ?

    The max value can be found by taking the derivative of f(x) with respect to x and setting it to zero. When you do this you'll get an expression for tan(3x) that produces a maximum, and from that can find the corresponding value for f(x). Hope this helps.
    amy440's Avatar
    amy440 Posts: 2, Reputation: 1
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    #3

    Dec 8, 2011, 07:40 AM
    Hi Ebaines,

    I have to solve it by trig identity. Can u give me any idea how to solve it that way...

    Thanks in advance...

    Amy
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