(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant 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]

3. 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]

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Trig Form Question

**Physics Forums | Science Articles, Homework Help, Discussion**