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Prathameshk2 (7)

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if tanA=kcotB      then

cos(A-B)
-----------------= 
cos(A+B)

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rtiit (436)

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write k=tanA/cotB
use componendo-dividendo

1+k/1-k= tanA+cotB/cotB-tanA

= sinAsinB + cosAcosB/ cosAcosB-sinAsinB

=cos(A-B)/ cos(A+B)
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ramyani (2899)

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Given
           tanA=kcotB 

          Sin A / cos A  = k cos B / sin B

          cos A cos B / sin A sin B = 1/ k

( cos A cos B + sin A sin B ) / ( cos A cos B - sin A sin B ) = ( 1+ k ) / ( 1- k )

              cos ( A - B ) / cos ( A + B ) =
( 1+ k ) / ( 1- k )

it is not important where u stand, but in which direction u are moving
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