AM-2692

Addition formulae

A Math · Secondary 4 · Medium · Addition formulae

Angles

A

and

B

are acute and satisfy

\cos(A-B)=\dfrac{4}{5}

and

\sin A\cos B=\dfrac{3}{5}

. Without using a calculator, find

\sin(A+B)

.

$\dfrac{4}{5}$
$\dfrac{3}{5}$
$\dfrac{7}{25}$
$\dfrac{1}{5}$

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