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Can U plz help me to solve this? If(x/a)cosA+(y/b)sinA=1 and (x/a)sinA-(y/b)cosA=1, prove that,(x 2 /a 2 )+(y 2/ b 2 )=2.

Can U plz help me to solve this?
If(x/a)cosA+(y/b)sinA=1 and (x/a)sinA-(y/b)cosA=1, prove that,(x2/a2)+(y2/b2)=2.

Grade:10

2 Answers

Ajay
209 Points
7 years ago
Take the square of both equations and sum, you will get the proof.
(x/acosA + y/bSinA)2 + (x/asinA - y/bcosA)2  = 2
Ajay
209 Points
7 years ago
 
Previou answer got messed up, reposting
Take the square of both equations and sum, you will get the proof.
(x/acosA + y/bSinA)2 + (x/asinA - y/bcosA)2  = 2
 

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