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Eliminating A from the equation XcosA = Ycos(A + 2p/3) = Zcos(A + 4p/3). where p = pi Establish that xy + yz + zx = 0

Eliminating A from the equation XcosA = Ycos(A + 2p/3) = Zcos(A + 4p/3).


where p = pi
Establish that xy + yz + zx = 0

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1 Answers

Deepak Kumar
25 Points
10 years ago

First, use XcosA = Ycos(A+2p/3) to find tanA by expanding cos(A+2p/3).

Do the same considering XcosA = Zcos(A+4p/3)and then equate the two.

This way A is eliminated and you will get the desired result.

 

Thanks and Regards,
Deepak Kumar
AskIITians Faculty,
B. Tech, IIT Delhi.

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