How do you verify #(1+cosx)(1-cosx) = sin^2 x#?
2 Answers
Jul 27, 2018
See proof below
Explanation:
Notice,
Now, consider LHS, as follows
Proved.
Jul 27, 2018
Explanation:
#"using the "color(blue)"trigonometric identity"#
#•color(white)(x)sin^2x+cos^2x=1#
#"consider the expansion of the left side"#
#1cancel(-cosx)cancel(+cosx)-cos^2x#
#=1-cos^2x#
#=sin^2x=" right side "rArr"verified"#