三角函数化简对吗sin(-α-3⼀2π)sin(3⼀2π-α)tan^2(2π-α)为分子

cos(π/2-α)cos(π/2+α)cot(π-α)为分母,最后是-tan^5α对吗?
2025-03-31 11:14:13
推荐回答(1个)
回答(1):

不正确,因为:
{sin(-α-3/2π)sin(3/2π-α)tan^2(2π-α)} / {cos(π/2-α)cos(π/2+α)cot(π-α)}
= {sin(π/2-α)sin(3/2π-α)tan^2(2π-α)} / {cos(π/2-α)cos(π/2+α)cot(π-α)}
= {cosα(-cosα)tan²α)} / {sinαsinα(-cotα)}
= - {cotα cotα tan²α} /cotα
= -tan α