Can I get some help tonight please? Thanks!
1 Answer
Sep 23, 2017
Explanation:
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)sin^2theta+cos^2theta=1larrcolor(blue)"Pythagorean identity"#
#•color(white)(x)cos^2theta/sin^2theta=cot^2theta" and "csc^2theta=1/sin^2theta#
#"beginning with the Pythagorean identity"#
#sin^2theta+cos^2theta=1#
#"divide all terms by "sin^2theta#
#sin^2theta/sin^2theta+cos^2theta/sin^2theta=1/sin^2theta#
#rArr1+cot^2theta=csc^2theta#
#color(blue)"OR"#
#"left side "=1+cot^2theta=1+cos^2theta/sin^2theta#
#rArr1+cos^2theta/sin^2theta=(sin^2theta+cos^2theta)/sin^2theta#
#=1/sin^2theta=csctheta="right side "rArr"verified"#