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given sin -1(x/a)+sin -1(y/b)=  implies  -cos -1(x/a)-cos -1(y/b)= implies cos -1(x/a)+cos -1(y/b)= - .........(1) from(1)sin =y(a 2-x 2) 1/2/ab+x(b 2-y 2) 1/2/ab cos =(a 2-x 2) 1/2(b 2-y 2) 1/2/ab-xy/ab sin 2( )=[x 2b 2+a 2y 2-2x 2y 2+(a 2-x 2) 1/2(b 2-y 2) 1/2 ]/a 2b 2 =x2/a2+y2/b2-2x2y2/a2b2+2xy/ab{(a2-x2)1/2(b2-y2)/ab} =x 2/a 2+y 2/b 2-2x 2y 2/a 2b 2+2xy/ab{cos +[xy/ab]} solving we get (c) as the result.
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Moderation Team
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