# Question #bd1e6

##### 1 Answer

Oct 21, 2016

The quotient rule states that

As

#=(sin(x)(d/dxcos(x))-cos(x)(d/dxsin(x)))/sin^2(x)#

#=(sin(x)(-sin(x))-cos(x)(cos(x)))/sin^2(x)#

#=(-sin^2(x)-cos^2(x))/sin^2(x)#

#=-(sin^2(x)+cos^2(x))/sin^2(x)#

#=-1/sin^2(x)#

#=-csc^2(x)#