Show that 4 (sin4 30° + cos4 60°) – 3 (cos2 45° – sin2 90°) = 2.
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Step-by-step explanation:
$\fbox{${{4}\left[{{\left({\frac{1}{2}}\right)}^{4}\mathrm{{+}}{\left({\frac{1}{2}}\right)}^{4}}\right]\mathrm{{-}}{3}\left[{}\right.{\left({\frac{1}{\sqrt{2}}}\right)}^{2}\mathrm{{+}}{\left({1}\right)}^{4}\left.{}\right]}$}$
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