AM-2593

Addition formulae

A Math · Secondary 4 · Medium · Addition formulae

Without using a calculator, express

\sin 75^\circ

in surd form, given that

\sin 45^\circ = \tfrac{\sqrt{2}}{2}

and

\sin 30^\circ = \tfrac12

.

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

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