How do you prove this identity?
Prove:
#cotx=sinxsin(pi/2-x)+cos^2xcotx#
Please and thanks :)
Prove:
Please and thanks :)
1 Answer
Nov 26, 2017
See below.
Explanation:
These are the identities I use in this proof:
#sin(pi/2 - x) = cos x#
#sin^2x + cos^2x =1#
#color(white)x#
#=sin x cos x + cos^2x cot x#
#=sin x cos x + (cos^2 x * cos x / sin x)#
#=sin x cos x + cos^3x/sin x#
#=(sin^2 x cos x) / sin x + cos^3x/sin x#
#=(sin^2 x cos x + cos ^3x )/sin x#
#=(cos x (sin^2x + cos^2x))/sin x#
#=(cos x *1) /sin x#
#=cos x / sin x#
#=cot x#