document.write( "Question 1143013: If tan α = x tanβ and sin α = y sin β, then cos^2α is. \n" ); document.write( "

Algebra.Com's Answer #763973 by JDKOUO01(1) $\"\"$ $\"About$

You can put this solution on YOUR website!
(A recommendation, next time say in what terms you want the answer to be in)\r
\n" ); document.write( "\n" ); document.write( "Answer: $\"%28y%5E2%29%2F%28x%5E2%29%2Acos%5E2%28b%29\"$
\n" ); document.write( "If $\"a=b\"$ and $\"c=d\"$ then $\"c%2Fa=d%2Fb\"$ so,
\n" ); document.write( " $\"sin%28a%29%2Ftan%28a%29\"$ = $\"y%2Asin%28b%29%2F%28x%2Atan%28b%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Using the property $\"sin%28x%29%2Ftan%28x%29=cos%28x%29\"$ (If you don't understand this notice $\"tanx=sinx%2Fcosx\"$ )\r
\n" ); document.write( "\n" ); document.write( "Which makes the beforementioned equation $\"cos+a=%28y%2Fx%29cos+b%29\"$
\n" ); document.write( "squaring both sides will get the desired equation \n" ); document.write( "

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