AM-2591

Addition formulae

A Math · Secondary 4 · Easy · Addition formulae

Without using a calculator, express

\sin 15^\circ

in the form

\dfrac{\sqrt{a}-\sqrt{b}}{c}

, where

a

,

b

and

c

are positive integers.

$\dfrac{\sqrt{6}-\sqrt{2}}{4}$
$\dfrac{\sqrt{6}+\sqrt{2}}{4}$
$\dfrac{\sqrt{3}-1}{2}$
$\dfrac{\sqrt{3}+1}{2}$

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