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1- sin x cos x 1- sin x cos x

1- sin x cos x 1- sin x cos x

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 89E
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In Exercises 39-46, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of a graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically. 39. 2 sec? x- 2 sec? x sin?x- sin? x cos?x = 1 sin x - cos x 40. csc x(csc x - sin x) + + cot x =csc2 x sin x 41. 2 + cos?x - 3 cos“ x = sin? x(3 + 2 cos? x) 42. tan x + tan? x - 3 = sec? x(4 tan?x - 3) 43. csc+ x 2 csc2 x + 1 cot x %3D 44. (sin* B - 2 sin? B + 1) cos B = cos B 1 - sin x cos x cot a csc a + 1 1 - sin x 46. csc a + 1 cos x cot a
Transcribed Image Text:In Exercises 39-46, (a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of a graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically. 39. 2 sec? x- 2 sec? x sin?x- sin? x cos?x = 1 sin x - cos x 40. csc x(csc x - sin x) + + cot x =csc2 x sin x 41. 2 + cos?x - 3 cos“ x = sin? x(3 + 2 cos? x) 42. tan x + tan? x - 3 = sec? x(4 tan?x - 3) 43. csc+ x 2 csc2 x + 1 cot x %3D 44. (sin* B - 2 sin? B + 1) cos B = cos B 1 - sin x cos x cot a csc a + 1 1 - sin x 46. csc a + 1 cos x cot a
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