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Anestetic [448]
3 years ago
15

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

Mathematics
1 answer:
NeTakaya3 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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