Verify the identity.? cot^2x + csc^2x = 2csc^2x - 1
Show your work.
Show your work.
1 Answer
Mar 28, 2018
Explanation:
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)cotx=cosx/sinx" and "cscx=1/sinx#
#•color(white)(x)sin^2x+cos^2x=1#
#"consider the left side"#
#rArrcos^2x/sin^2x+1/sin^2x#
#=(cos^2x+1)/sin^2x#
#=(1-sin^2x+1)/sin^2x#
#=2/sin^2x-sin^2x/sin^2x#
#=2csc^2x-1=" right side "rArr"verified"#