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Consider the following. csc²(x) (1 - sin²(x)) = cot²(x) Prove or disprove the identity. csc²(x) (1 - sin²(x)) + = = Therefore, csc²(x)(1 - sin²(x)) 1 csc²(x) - csc²(x) - cot (x)² X cot²(x). 1 - csc²(x) sin²(x) . sin²(x)

Consider the following. csc²(x) (1 - sin²(x)) = cot²(x) Prove or disprove the identity. csc²(x) (1 - sin²(x)) + = = Therefore, csc²(x)(1 - sin²(x)) 1 csc²(x) - csc²(x) - cot (x)² X cot²(x). 1 - csc²(x) sin²(x) . sin²(x)

Trigonometry (11th Edition)
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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Consider the following. csc²(x) (1 - sin²(x)) = cot²(x) Prove or disprove the identity. csc²(x) (1 - sin²(x)) = = Therefore, csc²(x) (1 - sin²(x)) 1 csc²(x) - csc²(x) - cot (x)² X cot²(x). 1 -csc²(x) sin²(x) . sin²(x) + On the left side of the given equation, consider applying the Distributive property. How are csc²(x) and sin²(x) related and what is their simplified product? Which trigonometric Pythagorean identity can be substituted for csc²(x)?
Transcribed Image Text:Consider the following. csc²(x) (1 - sin²(x)) = cot²(x) Prove or disprove the identity. csc²(x) (1 - sin²(x)) = = Therefore, csc²(x) (1 - sin²(x)) 1 csc²(x) - csc²(x) - cot (x)² X cot²(x). 1 -csc²(x) sin²(x) . sin²(x) + On the left side of the given equation, consider applying the Distributive property. How are csc²(x) and sin²(x) related and what is their simplified product? Which trigonometric Pythagorean identity can be substituted for csc²(x)?
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