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

2 Answers
Feb 20, 2017

sec (90 - t) = 5

Explanation:

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

Feb 27, 2018

sec (90-theta) = 5

Explanation:

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sec(90-theta) = csc theta

Given : csc theta = 5

Using cofunctions,

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