document.write( "Question 927318: cosx + sinx tanx =secx \n" ); document.write( "
Algebra.Com's Answer #562905 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!
\"cos+x%2Bsinx+tanx++=+cos+x+%2B+sinx++%2A+%28sin+x%2F+cos+x%29\"
\n" ); document.write( " =\"cos+x+%2B+%28sin+x%29%5E2+%2Fcos+x\"
\n" ); document.write( " = \"+cos+x+%2B+sin%5E2+%28x%29+%2F+cos+x\"
\n" ); document.write( " multiply & divide each term with cos x
\n" ); document.write( " =\"++cos+x+%2A+%28cos+x+%2Fcos+x%29+%2B%28sin%5E2+%28x%29+%2F+cos+x%29+%2A%28cos+x%2Fcos+x%29\"
\n" ); document.write( " =\"+cos%5E2%28x%29%2Fcos+x+%2B+sin%5E2%28x%29+%2Fcos+x\"
\n" ); document.write( " = \"+%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fcos+x\"
\n" ); document.write( " But \"cos%5E2%28x%29%2Bsin%5E2%28x%29+=1\"
\n" ); document.write( " = \"+1%2F+cos+x\"
\n" ); document.write( " = sec x
\n" ); document.write( "hence proved
\n" ); document.write( "
\n" );