Question #d60b1

1 Answer
Jim G.
Dec 12, 2017

#"see explanation"#

Explanation:

#"using the "color(blue)"trigonometric identity"#

#•color(white)(x)sin^2x+cos^2x=1#

#"consider the left side"#

#(cosx-sinx)^2#

#=(cosx-sinx)(cosx-sinx)larrcolor(blue)"expand using FOIL"#

#=cos^2x-2sinxcosx+sin^2x#

#=(cos^2x+sin^2x)-2sinxcosx#

#=1-2sinxcosx#

#="right side "rArr"verified"#

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