How do you simplify #csc x(sin x + cos x)#?
1 Answer
Feb 12, 2016
Explanation:
Knowing the two identities
#csc x = 1 / sin x " "# and#" "cot x = cos x / sin x# ,
you can simplify as follows:
#csc x (sin x + cos x ) = 1/ sin x (sin x + cos x)#
#= sin x / sin x + cos x / sin x #
#= 1 + cos x / sin x #
#= 1 + cot x #
