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tan x sin? x + sin x cos x sin x - cos X cos x - 2 cos x We begin on the right side of the equation by factoring the numerator and denominator. We can then use a Pythagorean Identity in the denominator and reduce. We can then use the ratio identity, and then factor the denominator. Finally we simplify by reducing the common factor. sin x(sin x + cos x) sin? x + sin x cos x sin (x) cos x - 2 cos x Cos sin x(sin x + cos x) (sin? x + cos? x) - cos (x) – sin²(x) = COS sin x + cos x sin x sin? x - cos (x) coS X sin x + cOS X cos²(x) = tan x . sin? x - CoS sin x + cos X = tan x: sin(x) + cos (x) (sin x - co x) tan x sin x - cos X

tan x sin? x + sin x cos x sin x - cos X cos x - 2 cos x We begin on the right side of the equation by factoring the numerator and denominator. We can then use a Pythagorean Identity in the denominator and reduce. We can then use the ratio identity, and then factor the denominator. Finally we simplify by reducing the common factor. sin x(sin x + cos x) sin? x + sin x cos x sin (x) cos x - 2 cos x Cos sin x(sin x + cos x) (sin? x + cos? x) - cos (x) – sin²(x) = COS sin x + cos x sin x sin? x - cos (x) coS X sin x + cOS X cos²(x) = tan x . sin? x - CoS sin x + cos X = tan x: sin(x) + cos (x) (sin x - co x) tan x sin x - cos 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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tan x sin? x + sin x cos x sin x - cos X cos x - 2 cos x We begin on the right side of the equation by factoring the numerator and denominator. We can then use a Pythagorean Identity in the denominator and reduce. We can then use the ratio identity, and then factor the denominator. Finally we simplify by reducing the common factor. sin x(sin x + cos x) sin? x + sin x cos x sin (x) cos x - 2 cos x Cos sin x(sin x + cos x) (sin? x + cos? x) - cos (x) – sin²(x) = COS sin x + cos x sin x sin? x - cos (x) coS X sin x + cOS X cos²(x) = tan x . sin? x - CoS sin x + cos X = tan x: sin(x) + cos (x) (sin x - co x) tan x sin x - cos X
Transcribed Image Text:tan x sin? x + sin x cos x sin x - cos X cos x - 2 cos x We begin on the right side of the equation by factoring the numerator and denominator. We can then use a Pythagorean Identity in the denominator and reduce. We can then use the ratio identity, and then factor the denominator. Finally we simplify by reducing the common factor. sin x(sin x + cos x) sin? x + sin x cos x sin (x) cos x - 2 cos x Cos sin x(sin x + cos x) (sin? x + cos? x) - cos (x) – sin²(x) = COS sin x + cos x sin x sin? x - cos (x) coS X sin x + cOS X cos²(x) = tan x . sin? x - CoS sin x + cos X = tan x: sin(x) + cos (x) (sin x - co x) tan x sin x - cos X
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