Verify Identity and justify steps taken (csc x + cot x)(sec x - 1) = tan x

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question

Verify Identity and justify steps taken

(csc x + cot x)(sec x - 1) = tan x

Expert Solution
Step 1

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the given expression is

\left(\csc \left(x\right)+\cot \left(x\right)\right)\left(\sec \left(x\right)-1\right)=\tan \left(x\right)

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