Trig Prove

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April 26th 2012, 02:34 AM
srirahulan

Trig Prove

(sin^(2)a-sin^(2)(b))/(sin(a)cos(a)-sin(b)cos(b))=tan(a+b)
April 26th 2012, 03:23 AM
ignite

Re: Trig Prove

Consider these identities:
$sin(a+b)sin(a-b)=sin^2a-sin^2b$
$sin(2a)=2sin(a)cos(a)$
$sin(2a)-sin(2b)=2cos(a+b)sin(a-b)$
Please try to prove these identities.
Using these your equation becomes:
$\frac{sin(a+b)sin(a-b)}{cos(a+b)sin(a-b)}=tan(a+b)$
April 27th 2012, 04:46 AM
srirahulan

Re: Trig Prove

Great!

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