document.write( "Question 680053: An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
\n" ); document.write( "csc 4θ − 2 = 0
\n" ); document.write( "(a) Find all solutions of the equation.
\n" ); document.write( "(b) Find the solutions in the interval [0, 2π).
\n" ); document.write( "

Algebra.Com's Answer #422276 by lwsshak3(11628)\"\" \"About 
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An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
\n" ); document.write( "csc 4θ − 2 = 0
\n" ); document.write( "(a) Find all solutions of the equation.
\n" ); document.write( "(b) Find the solutions in the interval [0, 2π).
\n" ); document.write( "**
\n" ); document.write( "(a) All solutions
\n" ); document.write( "csc 4x-2=0
\n" ); document.write( "csc 4x=2
\n" ); document.write( "1/cos 4x=2
\n" ); document.write( "cos 4x=1/2
\n" ); document.write( "4x=π/6+2πk, 5π/6+2πk, k=integer
\n" ); document.write( "x=π/24+2πk, 5π/24+2πk, k=integer
\n" ); document.write( "..
\n" ); document.write( "(b) Interval [0,2π]
\n" ); document.write( "4x=π/6, 5π/6 (In QI and QII where sin>0)
\n" ); document.write( "x=π/24, 5π/24
\n" ); document.write( "
\n" );