sin2x=2/3则sin²(x+π/4)=?

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sin2x=2/3则sin²(x+π/4)=?

sin2x=2/3则sin²(x+π/4)=?
sin2x=2/3则sin²(x+π/4)=?

sin2x=2/3则sin²(x+π/4)=?
sin²(x+π/4)
=1/2*[1-cos(2x+π/2)]
=1/2*[1+sin2x]
=1/2*[1+2/3]
=5/6