document.write( "Question 1192632: Find sin(2x), cos(2x), and tan(2x) from the given information.
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Algebra.Com's Answer #837198 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "Find sin(2x), cos(2x), and tan(2x) from the given information.
\n" ); document.write( "csc(x) = 8, tan(x) < 0
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\n" ); document.write( "\n" ); document.write( " The solution by @mananth is elementary wrong.\r
\n" ); document.write( "\n" ); document.write( " I came to bring a correct soluition.\r
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document.write( "You are given that csc(x) = 8, tan(x) < 0.\r\n" );
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document.write( "It means that  sin(x) = ,  tan(x) < 0;  hence x is the angle in QII, second quadrant.\r\n" );
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document.write( "It implies that cos(x) =  =  =  = .\r\n" );
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document.write( "Now  sin(2x) = 2*sin(x)*cos(x) =  = ;\r\n" );
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document.write( "     cos(2x) = cos^2(x) - sin^2(x) =  -  =  = .\r\n" );
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document.write( "     tan(2x) =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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