问题
选择题
cos(θ+78°)cos(θ+18°)+cos(12°-θ)sin(θ+18°)的值是( )
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答案
cos(θ+78°)cos(θ+18°)+cos(12°-θ)sin(θ+18°)
=cos[90°-(12°-θ)]cos(θ+18°)+cos(12°-θ)sin(θ+18°)
=sin(12°-θ)cos(θ+18°)+cos(12°-θ)sin(θ+18°)
=sin[(12°-θ)+(θ+18°)]
=sin30°
=
.1 2
故选C