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"