How do you simplify the expression #1/cos^2theta-1/cot^2theta#?
1 Answer
Nov 19, 2016
Explanation:
Using the
#color(blue)"trigonometric identities"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(cottheta=costheta/sintheta" and " sin^2theta+cos^2theta=1)color(white)(2/2)|)))#
#rArr1/(cos^2theta)-1/(cot^2theta)=1/(cos^2theta)-1/(cos^2theta/sin^2theta#
#=1/(cos^2theta)-(sin^2theta)/(cos^2theta)#
#=(1-sin^2theta)/cos^2theta=cos^2theta/cos^2theta=1#
