Question #c0fe0

1 Answer
Jan 5, 2018

#"see explanation"#

Explanation:

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

#•color(white)(x)sin2x=2sinxcosx#

#"consider the left hand side"#

#1-2cos^2xsin^2x#

#"take out a common factor of "1/2#

#=1/2(2-4cos^2xsin^2x)#

#=1/2[2-(2sinxcosx)(2sinxcosx)]#

#=1/2[2-(sin2x)(sin2x)]#

#=1/2[2-sin^2(2x)]=" right hand side"#