化简sin(-π/2-α)sin(πα)cos(-α-π)/cos(π-α)sin(3π α)

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化简sin(-π/2-α)sin(πα)cos(-α-π)/cos(π-α)sin(3πα)化简sin(-π/2-α)sin(πα)cos(-α-π)/cos(π-α)sin(3πα)化简sin(-π

化简sin(-π/2-α)sin(πα)cos(-α-π)/cos(π-α)sin(3π α)
化简sin(-π/2-α)sin(πα)cos(-α-π)/cos(π-α)sin(3π α)

化简sin(-π/2-α)sin(πα)cos(-α-π)/cos(π-α)sin(3π α)
sinα cosα=2/3 (sinα)^2 (cosα)^2=1 所以2sinαcosα=-5/9 (sinα-cosα)^2=1-(-5/9)=14/9又α∈(0,π),所以sinα-cosα=√14/3 sinα cosα=2/3 由以上两个方程解得 sinα=(2 √14)/6 cosα=(2-√14)/6