tirgonometric cambirdge 3u 2c q19 (1 Viewer)

[sam168]

suppose that (tanx)^2=tan(x-a)tan(x-b), show that tan2x=(2sinaxsinb)/(sin(a+b))

thank you in advance

 

[Fizzy_Cyst]

What have you done so far?

To get you started:


(tanx)^2=tan(x-a)tan(x-b)

=[(tan(x) - tan(a))/(1+tan(x)tan(a))][(tan(x) - tan(b))/(1+tan(x)tan(b))]