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3 years ago

Simplify tan9x-tan5x / 1+tan9xtan5x

Mathematics

1 answer:

Wittaler [7]3 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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3 years ago

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3 years ago

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Damm [24]

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Step-by-step explanation:

A suitable calculator can find the value of this ratio for you.

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The second attachments shows the calculator set to radian mode for the angle measure.

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2 years ago

6x — 4 > 14or3х + 10 < 4

Ipatiy [6.2K]

9514 1404 393

Answer:

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Step-by-step explanation:

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3 years ago

Simplify tan9x-tan5x / 1+tan9xtan5x​

Simplify tan9x-tan5x / 1+tan9xtan5x