document.write( "Question 301187: Hi all, I was hoping to get some help with the following problem(s) involving raidians and applicable angles.
\n" ); document.write( "Find all angles (θ) between 0 and 2π radians that satisfy:
\n" ); document.write( "a) sin θ = 0.5
\n" ); document.write( "b) 2 cos^2 θ = 3 - 3 sin θ\r
\n" ); document.write( "\n" ); document.write( "I need answers in terms of π. How do I show/solve for this?
\n" ); document.write( "Thanks,
\n" ); document.write( "- Nick. \n" ); document.write( "

Algebra.Com's Answer #216022 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find all angles (θ) between 0 and 2π radians that satisfy:
\n" ); document.write( "a) sin θ = 0.5
\n" ); document.write( "θ = pi/6
\n" ); document.write( "θ = 5pi/6
\n" ); document.write( "-------------------
\n" ); document.write( "b) 2 cos^2 θ = 3 - 3 sin θ
\n" ); document.write( "cos^2 = 1 - sin^2
\n" ); document.write( "2(1 - sin^2) = 1 - sin^2
\n" ); document.write( "2 - 2sin^2 = 1 - sin^2
\n" ); document.write( "1 = 3sin^2
\n" ); document.write( "sin^2(θ) = 1/3
\n" ); document.write( "sin(θ) = sqrt(3)/3
\n" ); document.write( "θ = arcsin(sqrt(3)/3)
\n" ); document.write( "θ =~ 0.61548, 2.52611 radians\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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