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Prove the identity. cos (x-y)- cos (x+y)=2 sinx 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) cos(x + y) Rule Select Rule ロ・ロ ☐cos 010 sin cot Osec 9 ☐tan csc

Prove the identity. cos (x-y)- cos (x+y)=2 sinx 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) cos(x + y) Rule Select Rule ロ・ロ ☐cos 010 sin cot Osec 9 ☐tan csc

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 65E
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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. Please write the answer in paper, not type. Thank you!

 

Prove the identity. (cscx-1)² cscx-1 cot²x cscx+1 OO EXPLANATION We'll start with the left side. We'll transform it step by step until it is identical to the right side. (cscx-1)² (cscx-1)² cot²x csc²x-1 E ANSWER Here is one possible answer. = Statement (cscx - 1)² cot²x (cscx - 1)² csc²x 1 (cscx-1)² cscx+1)(cscx- cscx-1 cscx+1 cscx - 1 cscx + 1 (cscx - 1)² (cscx + 1) (cscx - 1) :- 1) Pythagorean identity: cot²x=csc²x-1 Algebra: Difference of squares Algebra Cancel common factor(s) Rule Pythagorean Algebra Algebra
Transcribed Image Text:Prove the identity. (cscx-1)² cscx-1 cot²x cscx+1 OO EXPLANATION We'll start with the left side. We'll transform it step by step until it is identical to the right side. (cscx-1)² (cscx-1)² cot²x csc²x-1 E ANSWER Here is one possible answer. = Statement (cscx - 1)² cot²x (cscx - 1)² csc²x 1 (cscx-1)² cscx+1)(cscx- cscx-1 cscx+1 cscx - 1 cscx + 1 (cscx - 1)² (cscx + 1) (cscx - 1) :- 1) Pythagorean identity: cot²x=csc²x-1 Algebra: Difference of squares Algebra Cancel common factor(s) Rule Pythagorean Algebra Algebra
Prove the identity. cos (x-y)- cos (x+y)=2 sinx 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) cos(x + y) Validate Rule Select Rule ロ・ロ cos cot π X 0|0 sin sec ☐tan csc 0/6 Ś
Transcribed Image Text:Prove the identity. cos (x-y)- cos (x+y)=2 sinx 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) cos(x + y) Validate Rule Select Rule ロ・ロ cos cot π X 0|0 sin sec ☐tan csc 0/6 Ś
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