document.write( "Question 810319: Solve the equation cos2theta=-√3/2 \r
\n" ); document.write( "\n" ); document.write( "A) On the Interval [0,2pi)\r
\n" ); document.write( "\n" ); document.write( "B) On (-infinity,Infinity) \n" ); document.write( "
Algebra.Com's Answer #488096 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation cos2theta=-√3/2
\n" ); document.write( "A) On the Interval [0,2pi)
\n" ); document.write( "B) On (-infinity,Infinity)
\n" ); document.write( "***
\n" ); document.write( "cos(2x)=1-2sin^2x=-√3/2
\n" ); document.write( "2sin^2x=1+√3/2=(2+√3)/2
\n" ); document.write( "sin^2x=(2+√3)/4
\n" ); document.write( "sinx=±√(2+√3)/4=±√(2+√3)/2=±0.9659\r
\n" ); document.write( "\n" ); document.write( "A)[0,2pi)
\n" ); document.write( "x=1.3089,1.8327,4.4504,4.9743
\n" ); document.write( "..
\n" ); document.write( "B)(-∞,∞)
\n" ); document.write( "1.3089±2πk,1.8327±2πk,4.4504±2πk,4.9743±2πk, k=any integer \n" ); document.write( "
\n" );