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Q.

The value of $\frac{\tan 70 ° - \tan 20 °}{\tan 50 °} =$

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a

2

b

0

c

$- 1$

d

3

answer is B.

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Detailed Solution

$70 ° - 20 ° = 50 °$

$\Rightarrow \tan (70 ° - 20 °) = \tan 50 °$

$\Rightarrow \frac{\tan 70 ° - \tan 20 °}{1 + \tan 70 ° . \tan 20 °} = \tan 50 °$

$\frac{\tan 70 ° - \tan 20 °}{\tan 50 °} = 2$

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