document.write( "Question 769962: 1) Find the smallest positive value of t for which f(t) = 2 sin (2t − π/6) is the following.\r
\n" ); document.write( "\n" ); document.write( " f(t) attains a maximum value.
\n" ); document.write( "t = \r
\n" ); document.write( "\n" ); document.write( "2) Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)\r
\n" ); document.write( "\n" ); document.write( "sqrt(6) sin 2t + 3 tan 2t = 0\r
\n" ); document.write( "\n" ); document.write( "t = \n" ); document.write( "
Algebra.Com's Answer #469172 by lwsshak3(11628)\"\" \"About 
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1) Find the smallest positive value of t for which f(t) = 2 sin (2t − π/6) is the following.
\n" ); document.write( "f(t) attains a maximum value.
\n" ); document.write( "sin is maximum at π/2
\n" ); document.write( "sin(2t-π/6)=sin(π/2)
\n" ); document.write( "2t-π/6=π/2
\n" ); document.write( "2t=π/2+π/6=4π/6=2π/3
\n" ); document.write( "t = π/3
\n" ); document.write( "f(t) attains a maximum value when t=π/3
\n" ); document.write( "..
\n" ); document.write( "2) Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
\n" ); document.write( "sqrt(6) sin 2t + 3 tan 2t = 0
\n" ); document.write( "√6sin(2t)+(3sin(2t)/cos(2t))=0
\n" ); document.write( "LCD:cos(2t)
\n" ); document.write( "√6sin(2t)cos(2t)+3sin(2t)=0
\n" ); document.write( "sin(2t)(√6cos(2t)+3)=0
\n" ); document.write( "..
\n" ); document.write( "sin(2t)=0
\n" ); document.write( "2t=0, π,2π
\n" ); document.write( "t=0, π/2,π
\n" ); document.write( "..
\n" ); document.write( "√6cos(2t)+3)=0
\n" ); document.write( "√6cos(2t)=-3
\n" ); document.write( "cos(2t)=-3/√6≈-1.22... (reject, -1 ≤ cos(2t) ≤ 1)
\n" ); document.write( "..
\n" ); document.write( "values of t in the interval [0, 2π]=0, π, 2π
\n" ); document.write( " \n" ); document.write( "
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