(cos75°-sin75°)∙( sin75°+ cos75°) помогите. Created by VAMPIR2031. algebra-ru

(cos75°-sin75°)∙( sin75°+ cos75°) помогите...

VAMPIR2031 @VAMPIR2031

August 2022 1 3 Report

(cos75°-sin75°)∙( sin75°+ cos75°) помогите

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irkarom

$(cos75^0-sin75^o)*( sin75^o+ cos75^o) = cos^275^o - sin^275^ o=\\ \\ = \frac{1+cos2*75}{2}-\frac{1-cos2*75}{2} = \frac{1+cos150 - 1 + cos150}{2} = \\ \\ =\frac{2 * cos150}{2} = cos150 = cos(180 - 30) = cos 30 = \frac{\sqrt{3}}{2}$

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