What is $5costheta-8sectheta$ in terms of $sintheta$ ?

Question

1600 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-12T18:20:44

$5costheta - 8/cos(theta)$

$costheta/costheta xx (5costheta)/1 - 8/costheta$

$(5cos^2theta)/costheta- 8/costheta$

$(5cos^2theta-8)/costheta$

$cos^2theta = 1-sin^2theta$

$(5(1-sin^2theta)-8)/costheta$

$(5-5sin^2theta - 8)/costheta$

$(-3-5sin^2theta)/costheta$

What is 5costheta-8sectheta5costheta-8sectheta in terms of sinthetasintheta?