How do you write equations in a single sine function?

1. Feb 20, 2007

princiebebe57

What would the Domain, Range, Amplitude, Period, Phase shift be for y=-3sin(x)+2cos(x)?

How do you write it as a single sine function equivalent to it?

2. Feb 20, 2007

JK423

When you have a function of
y=Asinωx+Bcosωx

that will be equivalent to:
y=Rcos(ωx+φ)

where R=sqrt(A^2+B^2) and φ=tan^-1 (A/B)