document.write( "Question 595739: tan^2 θ − 6 sec θ = 6\r
\n" ); document.write( "\n" ); document.write( "Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) \n" ); document.write( "
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tan^2 θ − 6 sec θ = 6
\n" ); document.write( "Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
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\n" ); document.write( "tan^2 θ − 6 sec θ = 6
\n" ); document.write( "sin^2/cos^2-6/cos-6=0
\n" ); document.write( "LCD: cos^2
\n" ); document.write( "sin^2-6cos-6cos^2=0
\n" ); document.write( "1-cos^2-6cos-6cos^2=0
\n" ); document.write( "-7cos^2-6cos+1=0
\n" ); document.write( "7cos^2+6cos-1=0
\n" ); document.write( "(7cos-1)(cos+1)=0
\n" ); document.write( "..
\n" ); document.write( "7cos θ-1=0
\n" ); document.write( "cos θ=1/7
\n" ); document.write( "θ≈1.427+2πk, and 4.856+2πk (in quadrants I and IV where cos>0)
\n" ); document.write( "or
\n" ); document.write( "cos θ+1=0
\n" ); document.write( "cos θ=-1
\n" ); document.write( "θ=π+2πk
\n" ); document.write( "..
\n" ); document.write( "ans:
\n" ); document.write( "θ≈1.427+2πk, 4.856+2πk, and π+2πk, k=integer \n" ); document.write( "
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