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(2√3)sinB+(2√3)sin(2π/3 -B)如何化为3cosB+(3√3)sinB
人气:189 ℃ 时间:2020-09-01 17:48:35
解答
(2√3)sinB+(2√3)sin(2π/3 -B)
=2√3(sinB+sin(2π/3 -B))
=2√3(sinB-sin(-π/3-B))
=2√3(sinB+sin(π/3+B))
=2√3(sinB+sinπ/3cosB+cosπ/3sinB)
=2√3(sinB+√3/2cosB+1/2sinB)
=2√3(3/2sinB+√3/2cosB)
=3cosB+(3√3)sinB
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