Establish the identity. (csc a- sec B) +(sec ß+ csc a)( sec B- csc a) = -2 sec B(csc a- sec B) Simplify the left side of the identity by expanding each term and combining like terms. (Simplify your answer. Do not factor.)

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°.
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**Establish the identity.**

\[
(\csc \alpha - \sec \beta)^2 + (\sec \beta + \csc \alpha)(\sec \beta - \csc \alpha) = -2 \sec \beta (\csc \alpha - \sec \beta)
\]

Simplify the left side of the identity by expanding each term and combining like terms.

\[
\text{(Simplify your answer. Do not factor.)}
\]
Transcribed Image Text:**Establish the identity.** \[ (\csc \alpha - \sec \beta)^2 + (\sec \beta + \csc \alpha)(\sec \beta - \csc \alpha) = -2 \sec \beta (\csc \alpha - \sec \beta) \] Simplify the left side of the identity by expanding each term and combining like terms. \[ \text{(Simplify your answer. Do not factor.)} \]
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