2 years ago

Tan 9x - tan 5x/ 1+ tan 9x tan 5x

Mathematics

1 answer:

NeTakaya2 years ago

8 0

Answer:

tan 4x

Step-by-step explanation:

Note the difference identity for tangent ratio is

tan(x - y) = $\frac{tanx-tany}{1+tanxtany}$

Given

$\frac{tan9x-tan5x}{1+tan9xtan5x}$ ← in the form of the right side of the expansion, thus

= tan(9x - 5x)

= tan 4x

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