已知asin(θ+α)=bsin(θ+β),求证tanθ=(bsinβ-asinα)/(acosα-bcosβ)asin是a乘以sin,同理bsin acos bcos

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已知asin(θ+α)=bsin(θ+β),求证tanθ=(bsinβ-asinα)/(acosα-bcosβ)asin是a乘以sin,同理bsin acos bcos
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已知asin(θ+α)=bsin(θ+β),求证tanθ=(bsinβ-asinα)/(acosα-bcosβ)asin是a乘以sin,同理bsin acos bcos
已知asin(θ+α)=bsin(θ+β),求证
tanθ=(bsinβ-asinα)/(acosα-bcosβ)
asin是a乘以sin,同理bsin acos bcos

已知asin(θ+α)=bsin(θ+β),求证tanθ=(bsinβ-asinα)/(acosα-bcosβ)asin是a乘以sin,同理bsin acos bcos
asin(θ+α)=bsin(θ+β)
a(sinθcosα+cosθsinα)=b(sinθcosβ+cosθsinβ)
asinθcosα+acosθsinα=bsinθcosβ+bcosθsinβ
移项
asinθcosα-bsinθcosβ=bcosθsinβ-acosθsinα
sinθ(acosα-bcosβ)=cosθ(bsinβ-asinα)

tanθ=(bsinβ-asinα)/(acosα-bcosβ)