Prove the identity. cos (x-y) sinx-sin (x-y) cosx = siny Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement cos (x - y) sinx - sin(x - y) cosx Validate This line is incorrect. Rule Pythagorean ロ・ロ cos π nln cot Osec X sin 0 tan csc 0/0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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DUE NOW. Please answer it as the same on what is on the example (with rules). Follow the steps on the example. Thank you!
Prove the identity.
=
=
=
sin(x+y) cosx- cos(x+y) sinx = siny
Statement
sin (x + y) cosx - cos (x + y) sinx
(sinx coSy + cosx siny) cosx − ( cosx cosy – sinx siny) sinx
sinx cosx cosy + cos’x siny – sinx coSx cosy + sin’x siny
cos²x siny + sin²x siny
siny (sin²x + cos²x)
siny
Rule
Sum and Difference
Algebra
Algebra
Algebra
Pythagorean
Transcribed Image Text:Prove the identity. = = = sin(x+y) cosx- cos(x+y) sinx = siny Statement sin (x + y) cosx - cos (x + y) sinx (sinx coSy + cosx siny) cosx − ( cosx cosy – sinx siny) sinx sinx cosx cosy + cos’x siny – sinx coSx cosy + sin’x siny cos²x siny + sin²x siny siny (sin²x + cos²x) siny Rule Sum and Difference Algebra Algebra Algebra Pythagorean
Prove the identity.
cos (x-y) sinx-sin (x-y) cosx = siny
Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to
the right of the Rule.
Statement
cos (x - y) sinx - sin(x - y) cosx
Validate
This line is incorrect.
Rule
Pythagorean
ロ・ロ
cos
П
nln
cot Osec
X
sin
0
tan
csc
0/0
Transcribed Image Text:Prove the identity. cos (x-y) sinx-sin (x-y) cosx = siny Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement cos (x - y) sinx - sin(x - y) cosx Validate This line is incorrect. Rule Pythagorean ロ・ロ cos П nln cot Osec X sin 0 tan csc 0/0
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