document.write( "Question 865407: Use trigonometric identities to solve 2cos2(θ)=sin(θ)+1 exactly for 0≤θ<2π. If there is more than one answer, enter your answers as a comma separated list \n" ); document.write( "

Algebra.Com's Answer #521681 by lwsshak3(11628) $\"\"$ $\"About$

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Use trigonometric identities to solve 2cos2(θ)=sin(θ)+1 exactly for 0≤θ<2π. If there is more than one answer, enter your answers as a comma separated list.
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\n" ); document.write( " $\"2cos%5E2%28theta%29=sin%28theta%29%2B1\"$
\n" ); document.write( " $\"2%281-sin%5E2%28theta%29%29=sin%28theta%29%2B1\"$
\n" ); document.write( " $\"2-2sin%5E2%28theta%29=sin%28theta%29%2B1\"$
\n" ); document.write( " $\"2sin%5E2%28theta%29%2Bsin%28theta%29-1=0\"$
\n" ); document.write( " $\"%282sin%28theta%29-1%29+%28sin%28theta%29%2B1%29\"$
\n" ); document.write( "..
\n" ); document.write( "2sinθ-1=0
\n" ); document.write( "sinθ=1/2
\n" ); document.write( "θ=π/6, 5π/6
\n" ); document.write( "..
\n" ); document.write( "sinθ+1=0
\n" ); document.write( "sinθ=-1
\n" ); document.write( "θ=3π/2
\n" ); document.write( "..
\n" ); document.write( "θ=π/6, 5π/6, 3π/2
\n" ); document.write( " \n" ); document.write( "

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