Question

Find a, b, and h so that f(x) = asin(b(x-h). round to two decimals if needed, f(x)= 2sinpix + 3cospix

Answer 1

Start with this: \(\sqrt{2^{2} + 3^{2}}\)

Answer 2

4+9? 13.

Answer 3

You lost the square root. \(a = \sqrt{13}\)

Answer 4

oh! thank you!!

Answer 5

See where the 2 and 3 came from?

Answer 6

yeah, the 2sin and the 3cos

Answer 7

Yup. Coefficients of the two individual functions. This works ONLY if they have the same period and phase shift.

Speaking ofr same "Period", the resulting function must have the same period, so \(b = \pi\).

Answer 8

Well, the lasst piece you'll need is atan(3/2). Good luck!