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tirgonometric cambirdge 3u 2c q19 (1 Viewer)

sam168

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

thank you in advance
 

Fizzy_Cyst

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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))]
 
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