设f(θ)=(2cos³θ+sin²(2π-θ)+sin(π/2+θ))-3/2+2cos²(π+θ)+cos(-θ)求f(π/3)得值
设f(θ)=(2cos³θ+sin²(2π-θ)+sin(π/2+θ))-3/2+2cos²(π+θ)+cos(-θ)求f(π/3)得值求详...
设f(θ)=(2cos³θ+sin²(2π-θ)+sin(π/2+θ))-3/2+2cos²(π+θ)+cos(-θ)求f(π/3)得值
求详细答案 展开
求详细答案 展开
2011-12-04
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f(θ)=2cos^3 θ+sin^2 θ+cosθ-3/2+2cos^2 θ+cosθ
f(π/3)=2*(1/2)^3+(√3/2)^2+1/2-3/2+2*(1/2)^2+1/2
=1/4+3/4+1/2-3/2+1/2+1/2
=1
f(π/3)=2*(1/2)^3+(√3/2)^2+1/2-3/2+2*(1/2)^2+1/2
=1/4+3/4+1/2-3/2+1/2+1/2
=1
参考资料: http://zhidao.baidu.com/question/59680027.html
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