化简:[sin(π+3α)cos(-α+3π)sin(α-3π⼀2)cos(11π⼀2-α)]÷[cos(3α+9π⼀2)sin(-α-π)

2025-04-07 02:27:34
推荐回答(2个)
回答1:

[sin(π+3α)cos(-α+3π)sin(α-3π/2)cos(11π/2-α)] ÷ [cos(3α+9π/2)sin(-α-π)tan(-π+α)tan(π/2-α)]
=[-sin3α(-cosα)cosα(-sinα)] ÷ [(-sin3α)sinαtanαcotα)]
=(-sin3αcos²αsinα) ÷ (-sin3αsinα)
=cos²α

回答2:

(cosα)*(cosα)