化简:cot(θ+4π)•cos(θ+π)•sin2(θ+3π)tan(π+θ)•cos3(−π−θ).
问题描述:
化简:
. cot(θ+4π)•cos(θ+π)•sin2(θ+3π) tan(π+θ)•cos3(−π−θ)
答
原式=
cotθ•(−cosθ)•sin2θ tanθ•(−cos3θ)
=
cotθ•sin2θ tanθ•cos2θ
=
•tan2θcotθ tanθ
=1