My Math Forum Trigonometrical Equation, don't know how to simplify it

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 November 14th, 2017, 04:21 AM #1 Newbie   Joined: Nov 2017 From: Dresden, Saxony, Germany Posts: 2 Thanks: 0 Trigonometrical Equation, don't know how to simplify it Hi everyone. I have an expression -cos(f)*(sin(g)*cos(m)*cos(l) + sin(g)*sin(m)*sin(l)) + cos(g)*sin(f) which is equal to cos(g)*sin(f) - cos(f)*sin(g)*cos(l - m) according to Wolfram Alpha's CAS. I have no clue how to get there. Thanks in advance, Peter Last edited by skipjack; November 14th, 2017 at 05:09 AM.
 November 14th, 2017, 05:08 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,994 Thanks: 1856 -cos(f)*(sin(g)*cos(m)*cos(l) + sin(g)*sin(m)*sin(l)) = -sin(g)cos(f)(cos(m)cos(l) + sin(m)sin(l)) = -sin(g)cos(f)cos(l - m) Now add cos(g)sin(f) to both sides.
 November 16th, 2017, 03:08 AM #3 Newbie   Joined: Nov 2017 From: Dresden, Saxony, Germany Posts: 2 Thanks: 0 Thank you so much skipjack

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