cos(θ+78°)cos(θ+18°)+cos(12°-θ)sin(θ+18°)的值是()A.-12B.0C.12D.32-数学

题目简介

cos(θ+78°)cos(θ+18°)+cos(12°-θ)sin(θ+18°)的值是()A.-12B.0C.12D.32-数学

题目详情

cos(θ+78°)cos(θ+18°)+cos(12°-θ)sin(θ+18°)的值是(  )
A.-
1
2
B.0C.
1
2
D.
3
2
题型:单选题难度:中档来源:不详

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°
=class="stub"1
2

故选C

更多内容推荐