-/8 Points] DETAILS MY NOTES AUFCAT7 6.1.009. Verify the identity. COS X secx+tan x ASK YOUR TEACHER 1 - sin x Working with the left-hand side, multiply the numerator and denominator by the conjugate of the denominator, and find the product in the denominator. (Simplify at each step.) cos x(1 + sin x) cos x 1 - sin x == - (1 sin x) = cos x(1 + sin x) Then, use the Pythagorean Identity for cos² x, and simplify by dividing out the common factors. (Simplify at each step.) LHS = cos x(1 + sin x) (1 + sin x) = Finally, rewrite the fraction as two fractions, and then use a Reciprocal Identity and a Ratio Identity to simplify. (Simplify at each step.) 1 sin x LHS = +

-/8 Points] DETAILS MY NOTES AUFCAT7 6.1.009. Verify the identity. COS X secx+tan x ASK YOUR TEACHER 1 - sin x Working with the left-hand side, multiply the numerator and denominator by the conjugate of the denominator, and find the product in the denominator. (Simplify at each step.) cos x(1 + sin x) cos x 1 - sin x == - (1 sin x) = cos x(1 + sin x) Then, use the Pythagorean Identity for cos² x, and simplify by dividing out the common factors. (Simplify at each step.) LHS = cos x(1 + sin x) (1 + sin x) = Finally, rewrite the fraction as two fractions, and then use a Reciprocal Identity and a Ratio Identity to simplify. (Simplify at each step.) 1 sin x LHS = +

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 14RE

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