- #1

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## Homework Statement

This is a solutuion to a differential equation I've solved:

[tex] -cos(sqrt(2)t) - 2sin(sqrt(s)t) [/tex]

I've been asked to put it in the form:

[tex] Asin(wt + phi) [/tex]

## Homework Equations

[tex] A= sqrt(-1^2 + -2^2) [/tex]

[tex] phi = sin^-1phi = \frac{c1}{A} [/tex]

[tex] phi = cos^-1 phi = \frac{c2}{A} [/tex]

and

[tex] phi = tan^-1 phi = \frac{c1}{c2} [/tex]

## The Attempt at a Solution

A = 5

[tex] phi = sin^-1phi = \frac{-1}{sqrt(5)} [/tex]

[tex] phi = [/tex]

[tex] phi = cos^-1 phi = \frac{-2}{sqrt(5)} [/tex]

[tex] phi = [/tex]

and

[tex] phi = tan^-1 phi = \frac{-1}{-2} [/tex]

[tex] phi = [/tex]