document.write( "Question 875547: Im stuck, please help me solve and go into detail
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document.write( "Find the exact value
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document.write( "Given that sin Ө = -4/5 with Ө in quadrant IV, find tan 2Ө
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Algebra.Com's Answer #528345 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Find the exact value \n" ); document.write( "Given that sin Ө = -4/5 with Ө in quadrant IV, find tan 2Ө \n" ); document.write( "*** \n" ); document.write( "you are working with a (3-4-5) reference right triangle in quadrant IV \n" ); document.write( "sin Ө=-4/5 (given) \n" ); document.write( "cos Ө=3/5 \n" ); document.write( "sin 2Ө=2sinӨcosӨ=2*-4/5*3/5=-24/25 \n" ); document.write( "cos 2Ө=cos^2Ө-sin^2Ө=9/25-16/25=-7/25 \n" ); document.write( "tan 2Ө-sin 2Ө/cos 2Ө=24/7 \n" ); document.write( ".. \n" ); document.write( "Check: \n" ); document.write( "sin Ө=-4/5 \n" ); document.write( "Ө≈306.87˚ \n" ); document.write( "2Ө≈613.74˚ \n" ); document.write( "tan 2Ө≈3.4286… \n" ); document.write( "exact value as calculated=24/7≈3.4287… \n" ); document.write( " |