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若3sinx-4cosx=5sin(x+φ),则tanφ=__
人气:404 ℃ 时间:2020-09-29 09:28:35
解答
let
cosa = 3/5
=> sina =4/5
3sinx-4cosx=5sin(x+φ)
=sin(x+φ)
(3/5)sinx-(4/5)cosx = sin(x+φ)
sin(x-a) = sin(x+φ)
φ = -arccos3/5
tanφ = -4/3
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