# How do you find the exact value for #tan 120#?

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First of all

So

therefore

canceling out the

but remember

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Let's evaluate

Since we found the value of

Because

Since

(Dividing by 1/2 can be evaluated by doubling (multiplying by 2))

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We know that

hence

Therefore,

# = (2 sqrt(3)) / ( 1 - 3)#

# = (2 sqrt(3)) /( - 2)#

# = -sqrt(3)#

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