document.write( "Question 993622: Please help me out with this problem! Solve for all solutions of t on the interval [0,2pi)\r
\n" ); document.write( "\n" ); document.write( "2-2sin(t)=2sqrt( 3 )cos(t) \n" ); document.write( "

Algebra.Com's Answer #612852 by Alan3354(69443) $\"\"$ $\"About$

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Please help me out with this problem! Solve for all solutions of t on the interval [0,2pi)\r
\n" ); document.write( "\n" ); document.write( "2-2sin(t)=2sqrt(3)cos(t)
\n" ); document.write( " $\"1+-+sin%28t%29+=+sqrt%283%29%2Acos%28t%29\"$
\n" ); document.write( "Square both sides.
\n" ); document.write( " $\"1+-+2sin%28t%29+%2B+sin%5E2%28t%29+=+3cos%5E2%28t%29\"$
\n" ); document.write( "Sub 1 - sin^2 for cos^2
\n" ); document.write( "---
\n" ); document.write( " $\"1+-+2sin%28t%29+%2B+sin%5E2%28t%29+=+3+-+3sin%5E2%28t%29\"$
\n" ); document.write( " $\"4sin%5E2%28t%29+-+2sin%28t%29+-+2+=+0\"$
\n" ); document.write( " $\"2sin%5E2%28t%29+-+sin%28t%29+-+1+=+0\"$
\n" ); document.write( "(2sin + 1)*(sin - 1) = 0
\n" ); document.write( "----
\n" ); document.write( "sin(t) = 1
\n" ); document.write( "t = pi/2
\n" ); document.write( "--------------
\n" ); document.write( "sin(t) = -1/2
\n" ); document.write( "t = 7pi/6, 11pi/6\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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