document.write( "Question 926580: If the value of sinѲ is 1/2, determine the measure of Ѳ if π/2 < Ѳ < 3π/2. Answer must be exact values. \n" ); document.write( "

Algebra.Com's Answer #562333 by josmiceli(19441) $\"\"$ $\"About$

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Since $\"+pi%2F2+%3C+theta+%3C+%28+3%2Api+%29%2F2+\"$ ,
\n" ); document.write( " $\"+theta+\"$ is either in the 2nd quadrant
\n" ); document.write( "or the 3rd quadrant.
\n" ); document.write( "Since the sin is negative in the 3rd
\n" ); document.write( "quadrant, the angle must be in the 2nd
\n" ); document.write( "-----------------------------------
\n" ); document.write( "The $\"+arcsin%28+1%2F2+%29+=+pi%2F6+\"$
\n" ); document.write( "The angle in the 2nd quadrant that makes
\n" ); document.write( "this angle with the horizontal axis is:
\n" ); document.write( " $\"+theta+=+pi+-+pi%2F6+\"$
\n" ); document.write( " $\"+theta+=+%28+5%2Api%29%2F6+\"$
\n" ); document.write( " \n" ); document.write( "

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