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1If x=3 sin 0 4 4 cos 0 and y 3 cos 0 - 4 sin 0 then prove that *2 + y2 = 26.​

Answer»

ANSWER:

Step-by-step explanation:

Step-by-step explanation:

let theta be 'a'

x=3sin(a)+4cos(a)

y=3COS(a)-4sin(a)

x^2+y^2= {3sin(a)+ 4cos(a)}^2+ {3cos(a)-4sin(a)}^2

=>>9sin^2(a) +16cos^2(a) +24sin(a)cos(a)+ 9cos^2(a) + 16sin^2(a)-24sin(a)cos(a)

=>>>9{sin^2(a)+ cos^2(a)}+ 16{sin^2(a) +cos^2(a)}

=>>>9+16. { sin^2(a)+cos^2(a) =1}

=>>>>25


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