document.write( "Question 525073: verify: (1-sin x)/(1+sin x)=(sec x-tan x)^2 \n" ); document.write( "

Algebra.Com's Answer #348019 by lwsshak3(11628) $\"\"$ $\"About$

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verify: (1-sin x)/(1+sin x)=(sec x-tan x)^2
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\n" ); document.write( "Starting with left side:
\n" ); document.write( "(1-sin x)/(1+sin x)
\n" ); document.write( "multiply top and bottom by (1-sin). This makes the bottom a difference of squares.
\n" ); document.write( "[(1-sin)/(1+sin)][(1-sin)/(1-sin)
\n" ); document.write( "(1-sin)^2/(1-sin^2)
\n" ); document.write( "(1-2sin+sin^2)/cos^2
\n" ); document.write( "1/cos^2-2sin/cos^2+sin^2/cos^2
\n" ); document.write( "sec^2-2sin/cos^2+tan^2
\n" ); document.write( "sec^2-2/cos*sin/cos+tan^2
\n" ); document.write( "sec^2-2sec*tan+tan^2
\n" ); document.write( "(sec-tan)^2
\n" ); document.write( "Verified: left side=right side \n" ); document.write( "

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