How do you verify the identify #costhetacottheta+sintheta=csctheta#?
2 Answers
Mar 26, 2018
Explanation:
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)cottheta=costheta/sintheta" and "csctheta=1/sintheta#
#•color(white)(x)sin^2theta+cos^2theta=1#
#"consider the left side"#
#costhetaxxcostheta/sintheta+sintheta#
#=cos^2theta/sintheta+sin^2theta/sintheta#
#=(cos^2theta+sin^2theta)/sintheta#
#=1/sintheta=csctheta=" right side "rArr"verified"#
Mar 26, 2018
see below
Explanation:
L.H.S:
=
=
=
=
=