d. cot(x) - csc(x) = sin(x) cos(x)-sin(x) sin²(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve and provide a step by step hand written solution for part d

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) = sin(x) − cos4 (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) = sin(x) − cos4 (x) d. cot(x) csc(x): = sin(x) cos(x)-sin(x) sin²(x)
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