document.write( "Question 760338: Find all values of θ in the interval of [0°,360°) that satisfy the equation 2sin^2(θ/2)=cosθ. \n" ); document.write( "

Algebra.Com's Answer #462658 by lwsshak3(11628) $\"\"$ $\"About$

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Find all values of θ in the interval of [0°,360°) that satisfy the equation 2sin^2(θ/2)=cosθ.
\n" ); document.write( "***
\n" ); document.write( " $\"2sin%5E2%28x%2F2%29=cos%28x%29\"$
\n" ); document.write( " $\"sin%28x%2F2%29=sqrt%28%281-cos%28x%29%29%2F2%29\"$
\n" ); document.write( " $\"sin%5E2%28x%2F2%29=%28%281-cos%28x%29%29%2F2%29\"$
\n" ); document.write( "1-cos(x)=cos(x)
\n" ); document.write( "2cos(x)=1
\n" ); document.write( "cos(x)=1/2
\n" ); document.write( "x=60º, 300º (in Q1 and Q4 where cos>0) \n" ); document.write( "

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