document.write( "Question 1153087: If 0\n" ); document.write( "

Algebra.Com's Answer #775239 by greenestamps(13208) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"sin%28A%29%2B1=2%2Asqrt%281-sin%5E2%28A%29%29\"$

\n" ); document.write( "Square both sides:

\n" ); document.write( " $\"sin%5E2%28A%29%2B2%2Asin%28A%29%2B1+=+4%281-sin%5E2%28A%29%29+=+4-4sin%5E2%28A%29\"$

\n" ); document.write( " $\"5sin%5E2%28A%29%2B2sin%28A%29-3+=+0\"$

\n" ); document.write( "Solve the quadratic equation by factoring:

\n" ); document.write( " $\"%285sin%28A%29-3%29%28sin%28A%29%2B1%29+=+0\"$

\n" ); document.write( " $\"sin%28A%29+=+3%2F5\"$ OR $\"sin%28A%29+=+-1\"$

\n" ); document.write( "The restriction $\"0%3CA%3Cpi%2F2\"$ means sin(A) has to be between 0 and 1, so....

\n" ); document.write( "ANSWER: sin(A) = 3/5

\n" ); document.write( " \n" ); document.write( "

\n" );