# making equations of simple harmonic functions.and.?

• January 23rd 2009, 06:06 PM
j0nath0n3
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.
• January 24th 2009, 03:13 AM
mr fantastic
Quote:

Originally Posted by j0nath0n3
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.

..