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likoan [24]
3 years ago
14

(x,7) and (11,8); m= -1/5

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

x=16

Step-by-step explanation:

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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)

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

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