How do you verify the identity tan(pi/2-theta)tantheta=1?
1 Answer
Jan 21, 2017
see explanation.
Explanation:
Expand the left side using the
color(blue)"trigonometric identities"
color(red)(bar(ul(|color(white)(2/2)color(black)(tan(pi/2-theta)=cottheta)color(white)(2/2)|))) and
color(red)(bar(ul(|color(white)(2/2)color(black)(cottheta=(costheta)/(sintheta),tantheta=(sintheta)/(costheta))color(white)(2/2)|)))
rArrcolor(red)cancel(costheta)/color(blue)cancel(sintheta)xxcolor(blue)cancel(sintheta)/color(red)cancel(costheta)=1=" right side"
