document.write( "Question 269123: Hoping someone will help me with a few more. I need to see the steps:)\r
\n" ); document.write( "\n" ); document.write( "Verify:
\n" ); document.write( "a)sinx(sinx+cscxcos^2x)=1
\n" ); document.write( "b)tanx((cotx/cosx)-sinx)=cosx
\n" ); document.write( "c)(1+cosx)(1-cosx)=sin^2x
\n" ); document.write( "

Algebra.Com's Answer #197255 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Verify:
\n" ); document.write( "a)sinx(sinx+cscxcos^2x)=1
\n" ); document.write( "---
\n" ); document.write( "sin^2(x) + (1)cos^2(x) = 1
\n" ); document.write( "---
\n" ); document.write( "sin^2(x) + cos^2(x) is always 1, so you get:
\n" ); document.write( "1 = 1
\n" ); document.write( "-----------------------\r
\n" ); document.write( "\n" ); document.write( "b)tanx((cotx/cosx)-sinx)=cosx
\n" ); document.write( "---
\n" ); document.write( "tan(x)[(1/tan(x))/cos(x) - sin(x)) = cos(x)
\n" ); document.write( "---
\n" ); document.write( "(1/cos(x) - sin(x) = cos(x)
\n" ); document.write( "Multiply thru by cos(x) to get:
\n" ); document.write( "1 - cos(x)sin(x) = cos^2(x)
\n" ); document.write( "This is not an identity.
\n" ); document.write( "The left side of the original eq. does not equal the right side.
\n" ); document.write( "-------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c)(1+cosx)(1-cosx)=sin^2x
\n" ); document.write( "-----
\n" ); document.write( "1-cos^2(x) = sin^2(x)
\n" ); document.write( "sin^2(x) = sin^2(x)
\n" ); document.write( "=============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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