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Get Full Access to Algebra And Trigonometry With Analytic Geometry - 12 Edition - Chapter 10.5 - Problem 24
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Get solution: Exer. 1730: Use the binomial theorem to expand and simplify

Algebra and Trigonometry with Analytic Geometry | 12th Edition | ISBN: 9780495559719 | Authors: Earl Swokowski, Jeffery A. Cole ISBN: 9780495559719 225

Solution for problem 24 Chapter 10.5

Algebra and Trigonometry with Analytic Geometry | 12th Edition

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Algebra and Trigonometry with Analytic Geometry | 12th Edition | ISBN: 9780495559719 | Authors: Earl Swokowski, Jeffery A. Cole

Algebra and Trigonometry with Analytic Geometry | 12th Edition

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Problem 24

Exer. 1730: Use the binomial theorem to expand and simplify.

Step-by-Step Solution:
Step 1 of 3

Trigonometry Notes Chapter 2 Section 1&2 Pythagorean Identities: Sin θ+Cos θ=1 Tan θ+1=Sec θ 2 1+Cot θ=Csc θ 2 Conjugates: 2 2 A+B--------A-B so (a+b)*(a-b)=a -b Verify the Identity: sinθ 1+cosθ = Binomial in the denominator is not good 1−cosθ sinθ sinθ ∗(1+cosθ) 1−cosθ Multiply by conjugate (1+cosθ) sinθ(1+cosθ) 2 (1-cosθ)(1+cosθ)=sin2θ because 1-cosθ=sinθ sin θ 1+cosθ 1+cosθ = Factor out sinθ sinθ sinθ Replace with single term: Tan θ+1=Sec θ 2 Sec θ+1=N/

Step 2 of 3

Chapter 10.5, Problem 24 is Solved
Step 3 of 3

Textbook: Algebra and Trigonometry with Analytic Geometry
Edition: 12
Author: Earl Swokowski, Jeffery A. Cole
ISBN: 9780495559719

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Get solution: Exer. 1730: Use the binomial theorem to expand and simplify