I am trying to work out the exact value of tan(15) using the ratios in terms of tan. But the book doesn't make any sense. Can some please explain how to solve this?

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- Oct 22nd 2006, 10:25 PMchanceytan(15)?
I am trying to work out the exact value of tan(15) using the ratios in terms of tan. But the book doesn't make any sense. Can some please explain how to solve this?

- Oct 22nd 2006, 11:59 PMSoroban
Hello, chancey!

Quote:

Find the exact value of

You're expected to know the double-angle identities:

. .

Let

We have: .

Rationalize: .

- Oct 23rd 2006, 12:00 AMCaptainBlack