document.write( "Question 550771: Find all the angles between 0° and 90° which satisfy the equation
\n" ); document.write( "sec²Θcosec²Θ + 2cosec²Θ = 8 \n" ); document.write( "

Algebra.Com's Answer #359072 by Alan3354(69443) $\"\"$ $\"About$

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Find all the angles between 0° and 90° which satisfy the equation
\n" ); document.write( " $\"sec%5E2%28t%29%2Acsc%5E2%28t%29+%2B+2csc%5E2%28t%29+=+8\"$
\n" ); document.write( "Multiply by sin^2*cos^2
\n" ); document.write( "1 + 2cos^2 = 8sin^2cos^2 = 8cos^2*(1 - cos^2)
\n" ); document.write( "1 + 2cos^2 = 8cos^2 - 8cos^4
\n" ); document.write( "8cos^4 - 6cos^2 + 1 = 0
\n" ); document.write( "Sub x = cos^2
\n" ); document.write( "8x^2 - 6x + 1 = 0
\n" ); document.write( "(2x - 1)*(4x - 1) = 0
\n" ); document.write( "x = 1/2, x = 1/4
\n" ); document.write( "---------
\n" ); document.write( "cos^2(t) = 1/4
\n" ); document.write( "cos^2(t) = 1/2
\n" ); document.write( "Can you finish it?
\n" ); document.write( " \n" ); document.write( "

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