(sina/sinb)^2+(cosacosy)^2=1求证(tana/tanb)^2=(siny)^2

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(sina/sinb)^2+(cosacosy)^2=1求证(tana/tanb)^2=(siny)^2(sina/sinb)^2+(cosacosy)^2=1求证(tana/tanb)^2=(sin

(sina/sinb)^2+(cosacosy)^2=1求证(tana/tanb)^2=(siny)^2
(sina/sinb)^2+(cosacosy)^2=1求证(tana/tanb)^2=(siny)^2

(sina/sinb)^2+(cosacosy)^2=1求证(tana/tanb)^2=(siny)^2
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(1)、(sina/sinb)^2+(cosacosy)^2=1;
(2)、(1)式同时左右除cosa^2得(tana/sinb)^2+cosy^2=1/(cosa)^2;
(3)、(tana/sinb)^2-1/(cosa)^2=-cosy^2;
(4)、左右加1得(tana/sinb)^2+1-1/(cosa)^2=1-cosy^2
(5)、化简(tana/sinb)^2-(tana)^2=(siny)^2
(6)、左边提出(tana)^2得(tana)^2(1/(sinb)^2-1)=(siny)^2
(7)、(tana)^2((cosb)^2/(sinb)^2)=(siny)^2
即得求证