anonymous
  • anonymous
Graph the expression sec2 x - sec2 x sin2 x on your calculator. Determine what constant or single function is equivalent to the given expression.
Mathematics
schrodinger
  • schrodinger
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cwrw238
  • cwrw238
are the 2\s powers?
anonymous
  • anonymous
I got it. Nevermind.
cwrw238
  • cwrw238
if so = sec^2 x( 1 - sin^x) 1- sin^2 x = cos^2 x so we have sec^2x * cos^2 x cos^2x = ------- cos^2 x

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cwrw238
  • cwrw238
= 1
cwrw238
  • cwrw238
agreed?
anonymous
  • anonymous
Yep
anonymous
  • anonymous
\[\sec^2x-\sec^2x~\sin^2x\]\[\left({1\over\cos^2x}\right)-\left({1\over\cos^2x}\right)~\sin^2x\]\[\left({1\over\cos^2x}\right)-\left({\sin^2x\over\cos^2x}\right)\]\[~~{1-\sin^2x\over\cos^2x}\]\[~~~{\cos^2x\over\cos^2x}\]\[~~~=1\]

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