document.write( "Question 925954: Find the x-intercepts algebraically
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document.write( "csc^2x-4cotx=-2
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document.write( "1/sin^2-4cosx/sinx=-2
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document.write( "1/sin^2x-4cosxsinx/sin^2x=-2
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document.write( "(1-4cosxsinx)/sin^2=-2
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document.write( "1-4cosxsinx=-2sin^2x
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document.write( "1-2sin2x=-2((1-cos2x)/2)
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document.write( "1-2sin2x=-(1-cos(2x))
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document.write( "This is what I've tried, but I can't figure out what comes next \n" );
document.write( "
Algebra.Com's Answer #561877 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Find the x-intercepts algebraically \n" ); document.write( "csc^2x-4cotx=-2 \n" ); document.write( "1/sin^2-4cosx/sinx=-2 \n" ); document.write( "1/sin^2x-4cosxsinx/sin^2x=-2 \n" ); document.write( "(1-4cosxsinx)/sin^2=-2 \n" ); document.write( "1-4cosxsinx=-2sin^2x \n" ); document.write( "1-2sin2x=-2((1-cos2x)/2) \n" ); document.write( "1-2sin2x=-(1-cos(2x)) \n" ); document.write( "------- \n" ); document.write( "1-2sin(2x)= cos(2x) - 1 \n" ); document.write( "2 - 2sin(2x) = cos(2x) = sqrt(1 - sin^2(2x)) \n" ); document.write( "square both sides \n" ); document.write( "4 - 8sin(2x) + 4sin^2(2x) = 1 - sin^2(2x) \n" ); document.write( "Now it's a quadratic in 2x \n" ); document.write( "---- \n" ); document.write( "(I took your word on the steps you did) \n" ); document.write( " |