(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If [tex]tan x =\frac{2b}{a-c}[/tex]

[tex]y=a.cos^{2} x + 2b.sin x.cos x+ c.sin^{2} x[/tex]

[tex]z=a.sin^{2} x - 2b.sin x.cos x+ c.cos^{2} x[/tex]

Prove y-z=a-c

3. The attempt at a solution

Assuming that the result to be proved is true;

add y and z

y+z=a+c

and from the result to be proved

y-z=a-c

From this:

y=a

and

z=c

But can it be proved using the first equation of tan x ????? I tried a lot but i couldnt do it.

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# Homework Help: Help with Trigonometry

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