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 February 28th, 2018, 01:16 AM #1 Newbie   Joined: Feb 2018 From: Belgium Posts: 1 Thanks: 0 Simplify Hello, I can’t simplify this equation. I already tried to solve it. cos x - sin x - cos3x + sin3x/sin2x + cos2x Last edited by skipjack; February 28th, 2018 at 06:53 AM. February 28th, 2018, 07:01 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 I assume you meant the expression (cos(x) - sin(x) - cos(3x) + sin(3x))/(sin(2x) + cos(2x)). As cos(x) - cos(3x) = 2sin(x)sin(2x) and sin(3x) - sin(x) = 2cos(2x)sin(x), (cos(x) - sin(x) - cos(3x) + sin(3x))/(sin(2x) + cos(2x)) = (2sin(x)(sin(2x) + cos(2x)))/(sin(2x) + cos(2x)) = 2sin(x). Thanks from topsquark February 28th, 2018, 11:30 PM #3 Global Moderator   Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond $$\cos(x)-\sin(x)-\cos(3x)+\sin(3x)$$ $$\cos(x)-\sin(x)-4\cos^3(x)+3\cos(x)+3\sin(x)-4\sin^3(x)$$ $$4\cos(x)-4\cos^3(x)+2\sin(x)-4\sin^3(x)$$ $$4\cos(x)(1-\cos^2(x))+2\sin(x)(1-2\sin^2(x))$$ $$4\cos(x)\sin^2(x)+2\sin(x)\cos(2x)$$ $$2\sin(x)\sin(2x)+2\sin(x)\cos(2x)$$ $$...$$ Tags simplify Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post unistu Algebra 4 January 9th, 2015 01:56 AM jiasyuen Algebra 5 January 6th, 2015 01:10 PM jiasyuen Algebra 2 January 1st, 2015 01:05 PM thinkfast Algebra 2 January 27th, 2012 06:51 AM Shamieh Calculus 2 December 31st, 1969 04:00 PM

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