How do you simplify #csc^2(theta) / (1 + tan^2(theta) )#?
1 Answer
Jun 16, 2018
Explanation:
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)1+tan^2theta=sec^2theta#
#•color(white)(x)csctheta=1/sintheta" and "sectheta=1/costheta#
#=csc^2theta/sec^2theta#
#=(1/sin^2theta)/(1/cos^2theta)#
#=1/sin^2thetaxxcos^2theta=cos^2theta/sin^2theta=cot^2theta#
