How do you express cosθ csc θ in terms of tanθ?

1 Answer
Apr 18, 2018

color(blue)(=> 1 / tan theta

Explanation:

cos theta csc theta

![https://www.onlinemathlearning.com/http://trigonometric-identities.html](https://useruploads.socratic.org/rZX4LspGTXeHBwhNJXul_trigonometric%20identities.png)

=> cos theta * (1 / sin theta), color(brown)(" since " csc theta = 1/ sin theta

=>cos theta / sin theta

=> 1 / (sin theta / cos theta)

color(blue)(=> 1 / tan theta, color(maroon)(" since " sin theta / cos theta = sin theta