How do you prove (csc+cot)(csc-cot)=1?

1 Answer
Oct 17, 2015

csc^2theta=1+cot^2theta is a trigonometric identity.

Explanation:

[1]color(white)(XX)(csctheta+cottheta)(csctheta-cottheta)=1

Property: (a+b)(a-b)=a^2-b^2

[2]color(white)(XX)csc^2theta-cot^2theta=1

[3]color(white)(XX)csc^2theta=1+cot^2theta

This is a trigonometric identity.