How do you use csctheta=5cscθ=5 to find sec(90^circ-theta)sec(90θ)?

2 Answers
Feb 20, 2017

sec (90 - t) = 5

Explanation:

csc t = 1/(sin t) = 5csct=1sint=5 --> sin t = 1/5sint=15
Unit circle and property of complement arcs -->
cos (90 - t) = sin tcos(90t)=sint
There for
sec (90 - t) = 1/(cos (90 - t)) = 1/(sin t) = 5sec(90t)=1cos(90t)=1sint=5

Feb 27, 2018

sec (90-theta) = 5sec(90θ)=5

Explanation:

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sec(90-theta) = csc theta sec(90θ)=cscθ

Given : csc theta = 5Given:cscθ=5

Using cofunctions,

:. sec(90-theta) csc theta = 5