I'm looking over the differential equation describing a hanging cable in a textbook, and I probably need to review my trigonometric derivatives and integrals again because I'm not seeing how they got the following:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{dy}{dx} = tan(\phi) \frac{ws}{T_0}[/tex]

[tex]\frac{d^2y}{dx^2} = \frac{w}{T_0}\frac{ds}{dx}[/tex]

[tex]\frac{ds}{dx} = [1 + (\frac{dy}{dx})^2]^\frac{1}{2} [/tex]

ds/dx is the secant of phi, or something...any pointers would be appreciated!

**Physics Forums - The Fusion of Science and Community**

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

# Trigonometric Identity and Differential Equation question

Loading...

Similar Threads - Trigonometric Identity Differential | Date |
---|---|

A Problems with identities involving Legendre polynomials | Aug 8, 2017 |

I Characteristics of trigonometric function compositions like sin(sin(x)) | Mar 12, 2017 |

Some trigonometric, exponential thing? | Nov 3, 2012 |

Dif.eq. with trigonometric functions involving y | May 22, 2012 |

System of two differential equations with trigonometric functions | Feb 23, 2012 |

**Physics Forums - The Fusion of Science and Community**