Prove the identity. (secx-1)² secx-1 tan²x secx + 1 Note that each Statement must be based on a Rule chose

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
icon
Related questions
Question

DUE NOW. Please answer the required questions as the same as the format on what's on the example, with proper statements and rules. Please take note that this is not a graded assessment, just a practice. Construct a table as well and put all the statements and rules like on the example. Thank you!

 

Prove the identity.
(secx-1)² secx-
- 1
tan²x
secx+1
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
(secx - 1)²
tan²x
Validate
Rule
Select Rule
ロ・ロ
cos
cot
π
OO
sin
sec
tan
CSC
0/6
Transcribed Image Text:Prove the identity. (secx-1)² secx- - 1 tan²x secx+1 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 (secx - 1)² tan²x Validate Rule Select Rule ロ・ロ cos cot π OO sin sec tan CSC 0/6
Prove the identity.
cos (x-y) sinx-sin(x-y) cosx = siny
EANSWER
=
=
=
Statement
cos (x - y) sinx - sin(x - y) cosx
(cosx cosy + sinx siny) sinx − (sinx cosy – cosx siny) cosx
sinx cosx cosy + sin’x siny - sinx cosx cosy + cos’x siny
2
cos²x siny
sin²x siny + cos²x
= siny (sin²x + cos²x)
= siny
Example
Rule
Sum and Difference
Algebra
Algebra
Algebra
Pythagorean
Transcribed Image Text:Prove the identity. cos (x-y) sinx-sin(x-y) cosx = siny EANSWER = = = Statement cos (x - y) sinx - sin(x - y) cosx (cosx cosy + sinx siny) sinx − (sinx cosy – cosx siny) cosx sinx cosx cosy + sin’x siny - sinx cosx cosy + cos’x siny 2 cos²x siny sin²x siny + cos²x = siny (sin²x + cos²x) = siny Example Rule Sum and Difference Algebra Algebra Algebra Pythagorean
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College