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#