Consider the following equation. (1 + tan? x)(sin? x) ▪ tan" x (a) Use a graphing utility to graph each side of the equation. y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 62E
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Consider the following equation.
(1 + tan? x)(sin? x) = tan? x
(a) Use a graphing utility to graph each side of the equation.
-2x
-2x
-1
2 -1
2
-3
JUUL
-2x
2
-3
-3
-5-
Determine whether the equation is an identity.
O Based on the graph, the equation is an identity
O Based on the graph, the equation is not an identity.
(b) Use the table feature of a graphing utility. (Round each answer to three decimal places. If an answer does not exist, enter DNE)
Left-Hand Side
Right-Hand Side
-3
-2
-1
1
2
Determine whether the equation is an identity.
O Based on the table, the equation is an identity.
O Based on the table, the equation is not an identity.
(c) Confirm the results of parts (a) and (b) algebraically.
(1+ tan x)(sin? x) ? tan x
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Transcribed Image Text:Consider the following equation. (1 + tan? x)(sin? x) = tan? x (a) Use a graphing utility to graph each side of the equation. -2x -2x -1 2 -1 2 -3 JUUL -2x 2 -3 -3 -5- Determine whether the equation is an identity. O Based on the graph, the equation is an identity O Based on the graph, the equation is not an identity. (b) Use the table feature of a graphing utility. (Round each answer to three decimal places. If an answer does not exist, enter DNE) Left-Hand Side Right-Hand Side -3 -2 -1 1 2 Determine whether the equation is an identity. O Based on the table, the equation is an identity. O Based on the table, the equation is not an identity. (c) Confirm the results of parts (a) and (b) algebraically. (1+ tan x)(sin? x) ? tan x Need Help? Read It
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