How do you use the fundamental identities to simplify cot(pi/2-x)cosx?

1 Answer
Jan 27, 2017

sinx

Explanation:

Using the color(blue)"trigonometric identities"

color(red)(bar(ul(|color(white)(2/2)color(black)(cot(pi/2-x)=tanx;tanx=(sinx)/(cosx))color(white)(2/2)|)))

rArrcot(pi/2-x)cosx

=tanxcosx

=(sinx)/cancel(cosx)xxcancel(cosx)=sinx