How can you simplify the trigonometric expression sin? æ+cos² æ cos² æ ? A) You can cancel out cos? æ, so that you are left with sin² x. B) You can use the Fundamental Identity to replace sin? æ + cos² x by 1. cos² z This simplifies to tan² x + 1. cos² æ * C) You can create two fractions: sin² z cos² z O A and B are options, but C is invalid. B and C are options, but A is invalid. O A and C are options, but B is invalid.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 60E
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How can you simplify the trigonometric expression
sin z+cos² z
?
cos² æ
A) You can cancel out cos? x, so that you are left with sin? x.
B) You can use the Fundamental Identity to replace sin? æ + cos? x by 1.
C) You can create two fractions:
sin² z
cos² z
cos“ # This simplifies to tan² x + 1.
cos² x
A and B are options, but C is invalid.
B and C are options, but A is invalid.
O A and C are options, but B is invalid.
Transcribed Image Text:How can you simplify the trigonometric expression sin z+cos² z ? cos² æ A) You can cancel out cos? x, so that you are left with sin? x. B) You can use the Fundamental Identity to replace sin? æ + cos? x by 1. C) You can create two fractions: sin² z cos² z cos“ # This simplifies to tan² x + 1. cos² x A and B are options, but C is invalid. B and C are options, but A is invalid. O A and C are options, but B is invalid.
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