化简：cos(θ+π2)sin(θ+3π)sin(θ−π2)cos(θ−2π)tan(θ+π)=．

Question

化简：(cos(θ+(π)/(2))sin(θ+3π))/(sin(θ−(π)/(2))cos(θ−2π)tan(θ+π))=______．

Answer 1

(cos(θ+(π)/(2))sin(θ+3π))/(sin(θ−(π)/(2))cos(θ−2π)tan(θ+π))=(sinθsinθ)/(−cosθcosθtanθ)=(sinθsinθcosθ)/(−cosθcosθsinθ)=-tanθ．
故答案为：-tanθ．