Use a graphing utility to graph the trigonometric function. Use the graph to make a conjecture about a simplification of the expression. cos(x) y = 1 - tan(x) sin(x) cos(x) sin(x) – cos(x) + The function appears to be y = Verify the resulting identity algebraically. (Simplify your answers completely.) cos(x)+ sin(x) cos(x) y = 1- tan(x) sin(x) – cos(x) cos(x) sin(x) cos(x) sin(x) – cos(x) 1 - cos(x) sin(x) cos(x) sin(x) - cos(x) cos(x) – sin(x) (cos(x)) cos(x) – sin(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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Use a graphing utility to graph the trigonometric function. Use the graph to make a conjecture about a simplification of the
expression.
cos(x)
y =
1 - tan(x)
sin(x) cos(x)
sin(x) – cos(x)
+
The function appears to be y =
Verify the resulting identity algebraically. (Simplify your answers completely.)
cos(x)+ sin(x) cos(x)
y =
1- tan(x) sin(x) – cos(x)
cos(x)
sin(x) cos(x)
sin(x) – cos(x)
1 -
cos(x)
sin(x) cos(x)
sin(x) - cos(x)
cos(x) – sin(x)
(cos(x))
cos(x) – sin(x)
Transcribed Image Text:Use a graphing utility to graph the trigonometric function. Use the graph to make a conjecture about a simplification of the expression. cos(x) y = 1 - tan(x) sin(x) cos(x) sin(x) – cos(x) + The function appears to be y = Verify the resulting identity algebraically. (Simplify your answers completely.) cos(x)+ sin(x) cos(x) y = 1- tan(x) sin(x) – cos(x) cos(x) sin(x) cos(x) sin(x) – cos(x) 1 - cos(x) sin(x) cos(x) sin(x) - cos(x) cos(x) – sin(x) (cos(x)) cos(x) – sin(x)
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