SOLUTION: Simplify each expresion: Sin(-x)cot(-x)= sin(x)/cos(-x) + sin(-x)/cos(x)= cos(x) + cos(-x)=

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify each expresion: Sin(-x)cot(-x)= sin(x)/cos(-x) + sin(-x)/cos(x)= cos(x) + cos(-x)=      Log On


   

Question 668482: Simplify each expresion:
Sin(-x)cot(-x)=
sin(x)/cos(-x) + sin(-x)/cos(x)=
cos(x) + cos(-x)=
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify each expresion:
Sin(-x)cot(-x)
=sin(-x)*cos(-x)/sin(-x)
=cos(-x)
..
sin(x)/cos(-x) + sin(-x)/cos(x)
=sin(x)/cos(x)-sin(x)/cos(x)
=0
..
cos(x) + cos(-x)
=cos(x) + cos(x)
=2cos(x)