cos16 sin37 cos37 + 0,5 sin16 cos74. Created by natarova74. geometriya-ru

cos16 sin37 cos37 + 0,5 sin16 cos74...

natarova74 @natarova74

March 2022 1 3 Report

cos16 sin37 cos37 + 0,5 sin16 cos74

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kirichekov

Verified answer

Cos16°*sin37°*cos37°+0,5*sin16°*cos74°=

=cos16°*(1/2)*2*sin37°*cos37°+0,5*sin16°*cos74°=

=0,5*cos16°*sin(2*37°)+0,5*sin16°*sin74°=

0,5*(sin74°*cos16°+sin16°*cos74°)=0,5*sin(74°+16°)=0,5*sin90°=0,5*1=0,5

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