已知sin(3派+a)=lg1⼀10的立方根,求

2024-11-24 15:31:10
推荐回答(1个)
回答1:

sin(3π+θ)=lg1/10^(1/3)=lg10^(-1/3)=-1/3
sin(3π+θ)=sin(π+θ)=-sinθ
所以sinθ=1/3
原式=[-cosθ/[cosθ(-cosθ-1)]+[cosθ/cosθ(-cosθ)+cosθ]
=1/(1+cosθ)+1/(1-cosθ)
=(1-cosθ+1+cosθ)/sinθ
=2/(1/3)
=18