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2 years ago

Simplify tan9x-tan5x / 1+tan9xtan5x

Mathematics

1 answer:

Wittaler [7]2 years ago

5 0

Answer:

The given expressions simplifies to tan (4x).

Step-by-step explanation:

Here, the given expression is : $\frac{tan9x - tan5x}{1+ tan9xtan5x}$

By TRIGONOMETRIC IDENTITY:

$tan (A-B) = \frac{tanA - tanB}{1+ tanAtanB}$

Putting this identity here, and taking A = 9 x, B = 5 x, we get

$\frac{tan9x - tan5x}{1+ tan9xtan5x} = tan (9x-5x)$

= tan(4x)

Hence, the given expressions simplifies to tan (4x).

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Simplify tan9x-tan5x / 1+tan9xtan5x​

Simplify tan9x-tan5x / 1+tan9xtan5x