Question

tan x = tan 60°-tan 30°/1+tan 60°* tan 30°

Answer 1

x= tan inverse 1/ root 3

Answer 2

Answer:

x = 30

Explanation:

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we know that,

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

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Given

$tanx =\frac{tan60-tan30}{1-tan60tan30}$

Here,

A = 60° , B = 30°

$tanx = tan(60-30)$

Now ,

$\implies tanx = tan30$

$\implies x = 30$

Therefore,

x = 30

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