Explanation Given information: sin α + cos α = s & sin α − cos α = t Concept and Formula Used: tan α = sin α cos α , Elimination method. Calculation: It is given that sin α + cos α = s ............... (1) & sin α − cos α = t ............... (2) Adding equation (1) and (2) first and then subtracting equation (2) from (1) sin α + cos α = s ............... (1) sin α − cos α = t ..............

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 1.5, Problem 36PS

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To show: α=tan−1(s+ts−t)

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Chapter 1.5, Problem 35PS

Chapter 1.5, Problem 37PS

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Chapter 1 Solutions

Calculus

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α = tan − 1 ( s + t s − t )

Solution Summary: The author explains how to add equations (1) and (2) and subtract equation (2) from (1).

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Chapter 1 Solutions