sin40° — sin20°...

sasha3120011 @sasha3120011

July 2022 1 1 Report

Упростите выражение:
соѕ70° +cos50°/sin40° — sin20°

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NNNLLL54

Verified answer

$\frac{cos70^\circ +cos50^\circ }{sin40^\circ -sin20^\circ }=\frac{2\cdot cos60^\circ \cdot cos10^\circ }{2\cdot sin10^\circ \cdot cos 30^\circ }=\frac{\frac{1}{2}\cdot cos10^\circ }{sin10^\circ \cdot \frac{\sqrt3}{2}}=\frac{cos10^\circ }{\sqrt3\, sin10^\circ }=\frac{\sqrt3}{3}\cdot ctg10^\circ$

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