Question
Identify the equation as either an identity or not. Cos 3t + cos t/ sin3t - sin t = tan t
Answers
Answered by
oobleck
it is not an identity, since for t = π/4,
(cos 3t + cos t)/ (sin 3t - sin t)
= (-1/√2 + 1/√2)/(1/√2 - 1/√2) = 0/0 or undefined
while tan π/4 = 1
(cos 3t + cos t)/ (sin 3t - sin t)
= (-1/√2 + 1/√2)/(1/√2 - 1/√2) = 0/0 or undefined
while tan π/4 = 1
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