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 and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 2E
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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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