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1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx (b) Prove that 1+x? Use the following: 1) y = tanx is x = tan y (take derivative implicitly) 2) sec?x = tan?x + 1 (Pythagorean identities. We will use these a lot)

1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx (b) Prove that 1+x? Use the following: 1) y = tanx is x = tan y (take derivative implicitly) 2) sec?x = tan?x + 1 (Pythagorean identities. We will use these a lot)

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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1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx (b) Prove that 1+x? Use the following: 1) y = tanx is x = tan y (take derivative implicitly) 2) sec?x = tan?x + 1 (Pythagorean identities. We will use these a lot)
Transcribed Image Text:1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx (b) Prove that 1+x? Use the following: 1) y = tanx is x = tan y (take derivative implicitly) 2) sec?x = tan?x + 1 (Pythagorean identities. We will use these a lot)
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