document.write( "Question 835917: p tanθ = tan pθ, then find p sin^2 θ; / sin^2 pθ; \n" ); document.write( "

Algebra.Com's Answer #503831 by DrBeeee(684) $\"\"$ $\"About$

You can put this solution on YOUR website!
If
\n" ); document.write( "(1) $\"p%2Atan%28x%29+=+tan%28px%29\"$
\n" ); document.write( "Then what is
\n" ); document.write( "(2) $\"p%2Asin%5E2%28x%29%2Fsin%5E2%28px%29\"$
\n" ); document.write( "Solve (1) for p to get
\n" ); document.write( "(3) $\"p+=+tan%28px%29%2Ftan%28x%29\"$
\n" ); document.write( "Now put p of (3) into (2) and get
\n" ); document.write( "(4) $\"%28tan%28px%29%2Ftan%28x%29%29%2A%28sin%5E2%28x%29%2Fsin%5E2%28px%29%29\"$ or
\n" ); document.write( "(5) $\"%28sin%5E2%28x%29%2Ftan%28x%29%29%2A%28tan%28px%29%2Fsin%5E2%28px%29%29\"$
\n" ); document.write( "Now use the identity
\n" ); document.write( "(6) $\"tan%28x%29+=+sin%28x%29%2Fcos%28x%29\"$
\n" ); document.write( "to get
\n" ); document.write( "(7) $\"%28sin%28x%29%2Acos%28x%29%29%2A%281%2F%28cos%28px%29%2Asin%28px%29%29%29\"$
\n" ); document.write( "Now use the identity
\n" ); document.write( "(8) $\"sin%28x%29%2Acos%28x%29+=+sin%282%2Ax%29%2F2\"$
\n" ); document.write( "to get
\n" ); document.write( "(8) $\"%28sin%282%2Ax%29%2Fsin%282%2Apx%29%29%29\"$
\n" ); document.write( "Answer: $\"p%2Asin%5E2%28x%29%2Fsin%5E2%28px%29+=+sin%282%2Ax%29%2Fsin%282%2Apx%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );