证明题:x,y为锐角,3*(sinx)^2+2*(siny)^2=1,3*sin2x-2*sin2y=0,求证:x+2y
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证明题:x,y为锐角,3*(sinx)^2+2*(siny)^2=1,3*sin2x-2*sin2y=0,求证:x+2y=∏/2.
![证明题:x,y为锐角,3*(sinx)^2+2*(siny)^2=1,3*sin2x-2*sin2y=0,求证:x+2y](/uploads/image/z/19123625-65-5.jpg?t=%E8%AF%81%E6%98%8E%E9%A2%98%EF%BC%9Ax%2Cy%E4%B8%BA%E9%94%90%E8%A7%92%2C3%2A%28sinx%29%5E2%2B2%2A%28siny%29%5E2%3D1%2C3%2Asin2x-2%2Asin2y%3D0%2C%E6%B1%82%E8%AF%81%EF%BC%9Ax%2B2y)
3*(sinx)^2+2*(siny)^2=1
3*(sinx)^2=1-2*(siny)^2
3*(sinx)^2=cos2y
3*sin2x-2*sin2y=0
6sinxcosx-2sin2y=0
3sinxcosx=sin2y
两个式子相除:
sinx/cosx=cos2y/sin2y
tanx=ctg2y
x+2y=∏/2
3*(sinx)^2=1-2*(siny)^2
3*(sinx)^2=cos2y
3*sin2x-2*sin2y=0
6sinxcosx-2sin2y=0
3sinxcosx=sin2y
两个式子相除:
sinx/cosx=cos2y/sin2y
tanx=ctg2y
x+2y=∏/2
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