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4. For each equation, either prove that it is an identity or give a counterexample that proves it is not. Describe the process you followed. a. tan(a + b) = tan(a) + tan (b) b. tan(x + π) = tan(x) c. - cos(2x) = sin¹(x) = cos(x) d. cot(x) csc(x) = sin(x) cos(x) sin(x) sin²(x)

4. For each equation, either prove that it is an identity or give a counterexample that proves it is not. Describe the process you followed. a. tan(a + b) = tan(a) + tan (b) b. tan(x + π) = tan(x) c. - cos(2x) = sin¹(x) = cos(x) d. cot(x) csc(x) = sin(x) cos(x) sin(x) sin²(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. For each equation, either prove that it is an identity or give a counterexample that proves it is not. Describe the process you followed. a. tan(a + b) = tan(a) + tan (b) b. tan(x + 7) = tan(x) c. - cos(2x) = sin¹(x) = cos(x) d. cot(x) csc(x): = sin(x) cos(x)-sin(x) sin²(x)
Transcribed Image Text:4. For each equation, either prove that it is an identity or give a counterexample that proves it is not. Describe the process you followed. a. tan(a + b) = tan(a) + tan (b) b. tan(x + 7) = tan(x) c. - cos(2x) = sin¹(x) = cos(x) d. cot(x) csc(x): = sin(x) cos(x)-sin(x) sin²(x)
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