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Question

Find the exact value of tanπ3.


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Solution

Compute the required value:

As we know, tanθ=sinθcosθ.

That is

tanπ3=sinπ3cosπ3.

Since sinπ3=32,cosπ3=12, we can write that

tanπ3=3212tanπ3=32×2tanπ3=3.

Hence, the value of tanπ3 is 3.


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