# Solvecos 30° cos 35° - sin 30° sin 35°

Solve $\mathrm{cos}{30}^{\circ }\mathrm{cos}{35}^{\circ }-\mathrm{sin}{30}^{\circ }\mathrm{sin}{35}^{\circ }$

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SoosteethicU

Use the sum identity for cosine:
$\mathrm{cos}\left(A+B\right)=\mathrm{cos}A\mathrm{cos}B-\mathrm{sin}A\mathrm{sin}B=\mathrm{cos}\left({30}^{\circ }+{35}^{\circ }\right)$
$=\mathrm{cos}{65}^{\circ }$

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