sin(π/3+α)=1/3,則cos(π/6-α)=

sin(π/3+α)=1/3,則cos(π/6-α)=


根據誘導公式:sin(π/2-α)=cosα
得:
cos(π/6-α)
=sin[π/2-(π/6-α)]
=sin(π/3+α)
=1/3



若x屬於[0,π/2]證明1≤√sin x+√cos x≤2^3/4


用變數代換
令t=根號(sinx)(0



(2-sin(x)^2)-(2-cos(x)^2)=cos2x如何證明啊?


(2-sin(x)^2)-(2-cos(x)^2)
=2-sin(x)^2-2+cos(x)^2
=cos(x)^2-sin(x)^2
=cos2x