document.write( "Question 858237: find all values of x in the interval [0,2pi] that satisfy sin^2x+cosx=1 \n" ); document.write( "
Algebra.Com's Answer #517125 by lwsshak3(11628)\"\" \"About 
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find all values of x in the interval [0,2pi] that satisfy
\n" ); document.write( "sin^2x+cosx=1
\n" ); document.write( "1-cos^2x+cosx=1
\n" ); document.write( "cos^2x-cosx=0
\n" ); document.write( "cosx(cosx-1)=0
\n" ); document.write( "cosx=0
\n" ); document.write( "x=π/2, 3π/2
\n" ); document.write( "or
\n" ); document.write( "cosx-1=0
\n" ); document.write( "cosx=1
\n" ); document.write( "x=0, 2π
\n" ); document.write( "all values of x in the interval [0,2pi]: 0, π/2, 3π/2, 2π
\n" ); document.write( "
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