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Verify the identity. (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use the Reciprocal and Pythagorean Identities to simplify. (tan(x) + cot(x))² tan²(x) + 2 tan(x) cot(x) + = tan²(x) + 2 + = (tan²(x) + 1) + (cot²(x) + =

Verify the identity. (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use the Reciprocal and Pythagorean Identities to simplify. (tan(x) + cot(x))² tan²(x) + 2 tan(x) cot(x) + = tan²(x) + 2 + = (tan²(x) + 1) + (cot²(x) + =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Verify the identity. (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use the Reciprocal and Pythagorean Identities to simplify. (tan(x) + cot(x))² = tan²(x) + 2 tan(x) cot(x) + tan²(x) + 2 + = (tan²(x) + 1) + (cot²(x) + = ||
Transcribed Image Text:Verify the identity. (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use the Reciprocal and Pythagorean Identities to simplify. (tan(x) + cot(x))² = tan²(x) + 2 tan(x) cot(x) + tan²(x) + 2 + = (tan²(x) + 1) + (cot²(x) + = ||
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