document.write( "Question 44214: Verify that (sec θ/sin θ)(cot θ/csc θ)= csc θ is an identity.\r
\n" ); document.write( "\n" ); document.write( "Thank You \n" ); document.write( "

Algebra.Com's Answer #29152 by adamchapman(301) $\"\"$ $\"About$

You can put this solution on YOUR website!
(sec θ/sin θ)(cot θ/csc θ)= ?
\n" ); document.write( "sec θ = 1/cos θ
\n" ); document.write( "csc θ = 1/sin θ
\n" ); document.write( "cot θ = 1/tan θ = cos θ / sin θ
\n" ); document.write( "substitute these expressions into the first equation:
\n" ); document.write( "(sec θ/sin θ)(cot θ/csc θ) = (1/(cosθ sinθ))(cosθ sinθ/sinθ)
\n" ); document.write( "= (1/(cosθ sinθ))(cosθ)
\n" ); document.write( "= cosθ/(cosθ sinθ)
\n" ); document.write( "=1/sinθ
\n" ); document.write( "=cscθ\r
\n" ); document.write( "\n" ); document.write( "Just like that!\r
\n" ); document.write( "\n" ); document.write( "I hope this helps
\n" ); document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
\n" ); document.write( " \n" ); document.write( "

\n" );