How do you simplify #(sinX-cosX)^2#?

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dani83 Share
Aug 20, 2015

Answer:

# (sinX-cosX)^2 = 1-sin2X #

Explanation:

# sin^2 A + cos^2 A = 1 #
# sin 2A = 2 sin A cos A #

# (sinX-cosX)^2 = sin^2 X -2sin X cos X + cos^2 X = 1-2sin XcosX = 1-sin2X #

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