document.write( "Question 1060237: Use trigonometric identities to solve sin^2(θ)-cos^2(θ)=sin(θ) exactly for 0≤θ≤2pi. There are 3 answers. \n" ); document.write( "

Algebra.Com's Answer #675210 by stanbon(75887) $\"\"$ $\"About$

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Use trigonometric identities to solve sin^2(θ)-cos^2(θ)=sin(θ) exactly for 0≤θ≤2pi. There are 3 answers.
\n" ); document.write( "--------
\n" ); document.write( "sin^2(t) - (1-sin^2(t)) = sin(t)
\n" ); document.write( "-------
\n" ); document.write( "2sin^2t - sin(t) - 1 = 0
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\n" ); document.write( "Factor::
\n" ); document.write( "(2sin(t)+1)(sin(t)-1) = 0
\n" ); document.write( "------
\n" ); document.write( "sin(t) = -1/2 or sin(t) = 1
\n" ); document.write( "----------
\n" ); document.write( "t = (7/6)pi or t = (11/12)pi or t = pi/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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