How can this be simplified to the most basic form? Please include a step-by-step explanation.

1/#cot^2x+1#

1 Answer
Mar 1, 2018

#sin^2x#

Explanation:

#"assuming the question is "1/(cot^2x+1)#

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

#•color(white)(x)1+cot^2x=csc^2x#

#•color(white)(x)sinx=1/cscx#

#rArr1/(cot^2x+1)#

#=1/csc^2x=sin^2x#