document.write( "Question 726536: Two circles of radii 4cms and 1cm touch each other externally,and 'x' is the angle contained by their direct common tangents.
\n" ); document.write( "Then the value of sinx is,,? \n" ); document.write( "

Algebra.Com's Answer #444889 by KMST(5328) $\"\"$ $\"About$

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$\"BC=1\"$ and $\"DE=4\"$ are radii to the points of tangency.
\n" ); document.write( "They are perpendicular to tangent AE, so ABC and ADE are similar right triangles.
\n" ); document.write( "If $\"AB=y\"$ , $\"AD=AB%2B1%2B4=y%2B5\"$ .
\n" ); document.write( "In triangles ABC and ADE,
\n" ); document.write( " $\"sin%28DAE%29=1%2Fy=4%2F%285%2By%29\"$ --> $\"4y=5%2By\"$ --> $\"3y=5\"$ --> $\"y=5%2F3\"$
\n" ); document.write( "So $\"sin%28DAE%29=1%2F%285%2F3%29=3%2F5\"$ ---> $\"cos%28DAE%29=4%2F5\"$
\n" ); document.write( " $\"x=2%28DAE%29\"$ so $\"sin%28x%29=sin%282DAE%29=2sin%28DAE%29cos%28DAE%29=2%283%2F5%29%284%2F5%29=24%2F25=0.96\"$
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