document.write( "Question 1007411: Please help me solve this equation. I have a huge trig test tomorrow and I have no idea what I am doing... csc^2(2x)-csc(2x)=2 \n" ); document.write( "
Algebra.Com's Answer #623347 by MathTherapy(10552)\"\" \"About 
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Please help me solve this equation. I have a huge trig test tomorrow and I have no idea what I am doing... csc^2(2x)-csc(2x)=2
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\"csc%5E2+%282x%29+-+csc+%282x%29+=+2\"
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document.write( "\"1%2F%28sin%5E2+%282x%29%29+-+1%2F%28sin+%282x%29%29+=+2\" ------- Converting from csc to sin
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document.write( "\"1+-+sin+%282x%29+=+2+sin%5E2+%282x%29\" ---------- Multiplying by LCD, \"sin%5E2+%282x%29\"
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document.write( "\"2+sin%5E2+%282x%29+%2B+sin+%282x%29+-+1+=+0\"
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document.write( "[2 sin (2x) - 1][sin (2x) + 1] = 0 ------ Factoring trinomial
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document.write( "2 sin (2x) – 1 = 0	    AND		  sin (2x) + 1 = 0
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document.write( "2 sin (2x) = 1		    AND		  sin (2x) = 0 - 1
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document.write( "\"sin+%282x%29+=+1%2F2\"	            AND           sin (2x) = - 1
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document.write( "\"sin%5E%28-+1%29%281%2F2%29+=+2x\"            AND   	  \"sin%5E%28-+1%29%28-+1%29+=+2x\"
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document.write( "30 = 2x			    AND  	  270 = 2x 
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document.write( "\"highlight_green%2830%2F2+=+x+=+15%5Eo+=+pi%2F12%29\" (Q I)	    AND          \"highlight_green%28270%2F2+=+x+=+135%5Eo+=+3pi%2F4%29\" (Q II)
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document.write( "\"highlight_green%28x+=+165%5E0+=+11pi%2F12%29\" (Q II)      \r
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document.write( "No INTERVAL was stated (the likes of: \"0%5Eo+%3C=+x+%3C=+360%5E0\") so these are the 3 solutions \n" );
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