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)

原式=

cotθ•(−cosθ)•sin2θ
tanθ•(−cos3θ)

=
cotθ•sin2θ
tanθ•cos2θ

=
cotθ
tanθ
•tan2θ

=1