Patricia Bean

2022-07-27

Find the exact value of expression without using a calculator:
$\mathrm{sin}\left(40\right)+\mathrm{sin}\left(130\right)+\mathrm{sin}\left(220\right)+\mathrm{sin}\left(310\right)$

grocbyntza

Expert

$\mathrm{sin}220=-\mathrm{sin}40$
$\mathrm{sin}310=-\mathrm{sin}130$
so adding them up = 0

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