D DarkDude New Member Joined Sep 30, 2005 Messages 16 Gender Male HSC 1999 Oct 3, 2005 #1 This one involves proving trig identities prove (tanx + cotx - 1)(sinx + cosx) = (secx/cosec^2x) + (cosecx/sec^2x)
This one involves proving trig identities prove (tanx + cotx - 1)(sinx + cosx) = (secx/cosec^2x) + (cosecx/sec^2x)
N Nobuo Uematsu New Member Joined Apr 30, 2005 Messages 12 Gender Undisclosed HSC N/A Oct 3, 2005 #2 DarkDude said: This one involves proving trig identities prove (tanx + cotx - 1)(sinx + cosx) = (secx/cosec^2x) + (cosecx/sec^2x) Click to expand... (tanx + cotx - 1)(sinx + cosx) =(sinx\cosx+cosx\sinx-1)(sinx+cosx) =(sin²x\cosx+sinx+cosx+cos²x\sinx-sinx-cosx) =(secx\cosec²x+cosecx\sec²x)
DarkDude said: This one involves proving trig identities prove (tanx + cotx - 1)(sinx + cosx) = (secx/cosec^2x) + (cosecx/sec^2x) Click to expand... (tanx + cotx - 1)(sinx + cosx) =(sinx\cosx+cosx\sinx-1)(sinx+cosx) =(sin²x\cosx+sinx+cosx+cos²x\sinx-sinx-cosx) =(secx\cosec²x+cosecx\sec²x)
D DarkDude New Member Joined Sep 30, 2005 Messages 16 Gender Male HSC 1999 Oct 3, 2005 #3 Thanks nobuo!