Verify the identity.? cot^2x + csc^2x = 2csc^2x - 1

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1 Answer
Mar 28, 2018

#"see explanation"#

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"#