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Math Help - making equations of simple harmonic functions.and.?

  1. #1
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    making equations of simple harmonic functions.and.?

    1.How do you write an equation for a simple harmonic motion given that the amplitude is the 5 centimeters and the frequency is 1/pie cycles per second..? I have to assume that the maximum displacement occurs when t = 0 .

    2. how do i find the exact value of cos(174degrees)cos(84 degrees) + sin(174 degrees)sin(84 degrees)..?

    3. Solve the equation 2 - 2 sin x = 1, 0degrees is less then or equal to x and less then or equal to 360 degrees..
    answear is in degrees how to get the answear the comma 0 <orequal to x < orequal to 36o is confusing me.
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  2. #2
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    Quote Originally Posted by j0nath0n3 View Post
    1.How do you write an equation for a simple harmonic motion given that the amplitude is the 5 centimeters and the frequency is 1/pie cycles per second..? I have to assume that the maximum displacement occurs when t = 0 .

    Mr F says: Use the model {\color{red} x = A \cos \omega t}.

    2. how do i find the exact value of cos(174degrees)cos(84 degrees) + sin(174 degrees)sin(84 degrees)..?

    Mr F says: Use the standard formula cos(A - B) = cos A cos B + sin A sin B.

    3. Solve the equation 2 - 2 sin x = 1, 0degrees is less then or equal to x and less then or equal to 360 degrees..
    answear is in degrees how to get the answear the comma 0 <orequal to x < orequal to 36o is confusing me.

    Mr F says: Find all solutions to {\color{red}\sin x = \frac{1}{2} } that lie between 0 degrees and 360 degrees.
    ..
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