Use trigonometric identities to simplify the expression. cot² (6) cot² (8) sec² (8)

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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**Problem:**
Use trigonometric identities to simplify the expression:

\[ \cot^2(\theta) - \cot^2(\theta)\csc^2(\theta) \]

**Answer:**

\[ \theta \cot(2) - \theta \csc(2) \] 

In this problem, you are asked to simplify a trigonometric expression using identities. The expression involves cotangent and cosecant functions. Note that no graphs or diagrams are included in this problem; it only consists of algebraic manipulation of trigonometric functions.
Transcribed Image Text:**Problem:** Use trigonometric identities to simplify the expression: \[ \cot^2(\theta) - \cot^2(\theta)\csc^2(\theta) \] **Answer:** \[ \theta \cot(2) - \theta \csc(2) \] In this problem, you are asked to simplify a trigonometric expression using identities. The expression involves cotangent and cosecant functions. Note that no graphs or diagrams are included in this problem; it only consists of algebraic manipulation of trigonometric functions.
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