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yu must thank 81 & 9 be DEGREES... kauz 81+9=90 deg.. sine & kosine be 90 deg apart... so kosine(x)=sine(x+90 deg) for all x < infinity & sine(x)=kosine(x-90 deg) for all x
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cos (81+A)=sin(9-A) so, sin(90-(81+A)=sin(9-A) by property cos(90-@)=sin @ sin(9-A)=sin(9-A) =1
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