Cot(-x)sec x is simplified to?

1 Answer
Øko
Mar 2, 2018

#-csc(x)#

Explanation:

We want to simplify

#cot(-x)sec(x)#

Use the identities

  • #sin(-x)=-sin(x)#
  • #cos(-x)=cos(x)#

Thus:

#cot(-x)sec(x)#

#=cos(-x)/sin(-x)1/cos(x)#

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

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

#=-csc(x)#

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