My Math Forum Determine values of valuables where identities are undefined

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 April 20th, 2018, 05:32 AM #1 Newbie   Joined: Apr 2018 From: East London Posts: 12 Thanks: 0 Determine values of valuables where identities are undefined 1.Cos 2x /Cosx - Sinx = Cos x + Sinx 2.1-Sinx / Sinx - Cosx = Sinx - Cosx
April 20th, 2018, 05:57 AM   #2
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Quote:
 Originally Posted by Vee88 1.Cos 2x /Cosx - Sinx = Cos x + Sinx 2.1-Sinx / Sinx - Cosx = Sinx - Cosx
"valuables" ... ? maybe you mean variables?

for the first identity, if you meant to post ...

Quote:
 Cos 2x /(Cos x - Sin x) = Cos x + Sinx
$\dfrac{\cos(2x)}{\cos{x}-\sin{x}} = \cos{x}+\sin{x}$

this identity is undefined at values of $x$ where $\cos{x}=\sin{x}$

the second equation is not an identity ... you may want to recheck it

 April 20th, 2018, 06:05 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,919 Thanks: 2203 Determine when the denominator is zero... what value will tan(x) have? The second equation is okay if interpreted correctly, so that its denominator is zero in the same circumstances.
 April 20th, 2018, 06:38 AM #4 Newbie   Joined: Apr 2018 From: East London Posts: 12 Thanks: 0 Good Evening Thank you for your assistance it really helps , I'll check the sum and question and post again .

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