1-sin2a-cos^2(a-π/4)

问题描述:

1-sin2a-cos^2(a-π/4)

1-sin2a-cos^2(a-π/4)
=sin^2(a-π/4)-sin2a
=(根号2sina-根号2cosa)^2-sin2a
=2(cosa^2-2sinacosa+cosa^2)-sin2a
=2(1-sin2a)-sin2a
=2-3sin2a