Question #8971c

1 Answer
Dec 18, 2017

#"see explanation"#

Explanation:

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

#•color(white)(x)cos2A=cos^2A-sin^2A#

#color(white)(xxxxxxx)=2cos^2A-1#

#color(white)(xxxxxxx)=1-2sin^2A#

#"consider the left hand side"#

#2sin^2A-1#

#=-cos2A#

#=-(cos^2A-sin^2A)#

#=sin^2A-cos^2A#

#="right hand side "rArr" verified"#