document.write( "Question 950272: Solve the equation for t on the interval [0,2π) 4 cos t - 4 sin t = 4 \n" ); document.write( "

Algebra.Com's Answer #580218 by lwsshak3(11628) $\"\"$ $\"About$

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Solve the equation for t on the interval [0,2π)
\n" ); document.write( "4 cos t - 4 sin t = 4
\n" ); document.write( "cos t-sin t=1
\n" ); document.write( "cos t-1=sin t
\n" ); document.write( "cos^2(t)-2cos t+1=sin^2(t)
\n" ); document.write( "cos^2(t)-2cos t+1=1-cos^2(t)
\n" ); document.write( "2cos^2(t)-2cos t=0
\n" ); document.write( "cos^2(t)-cos t=0
\n" ); document.write( "cos t(cos t-1)=0
\n" ); document.write( "cos t=0
\n" ); document.write( "t=π/2, 3π/2
\n" ); document.write( "or
\n" ); document.write( "cos t-1=0
\n" ); document.write( "cos t=1
\n" ); document.write( "t=0 \n" ); document.write( "

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