My Math Forum Trig IDENTITIES

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 January 9th, 2014, 11:47 AM #1 Newbie   Joined: Nov 2013 Posts: 5 Thanks: 0 Trig IDENTITIES Can you help me simplify these two equations with DETAIL not just ANSWER 1. cosx(1+tan^2x) 2. sec^2x-1 divided by secx-1
 January 9th, 2014, 11:53 AM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,788 Thanks: 1037 Math Focus: Elementary mathematics and beyond Re: Trig IDENTITIES $\cos x(1\,+\,\tan^2x)\,=\,\cos x\,+\,\frac{\sin^2x}{\cos x}\,=\,\frac{\cos^2x\,+\,\sin^2x}{\cos x}\,=\,\frac{1}{\cos x}\,=\,\sec x$ $\frac{\sec^2x\,-\,1}{\sec x\,-\,1}\,=\,\frac{(\sec x\,-\,1)(\sec x\,+\,1)}{\sec x\,-\,1}\,=\,\sec x\,+\,1$
 January 13th, 2014, 02:10 AM #3 Newbie   Joined: Nov 2013 Posts: 5 Thanks: 0 Re: Trig IDENTITIES Thank you so much! I really appreciate you and your time. !
 January 13th, 2014, 04:20 AM #4 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,788 Thanks: 1037 Math Focus: Elementary mathematics and beyond Re: Trig IDENTITIES $\cos x(1\,+\,\tan^2x)\,=\,\cos x\sec^2x\,=\,\sec x$

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