Question #49d56

1 Answer
salamat · seol
Mar 30, 2017

see explanation

Explanation:

let's take the left hand side (abbr. LHS) to prove the right hand side (abbr. RHS)...

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

#= \color(indianred)((1/sin x) -sin x)/cos x = \color(indianred)((1 - sin^2 x)/sin x)\times1/cos x#

# = (1 - sin^2 x)/(sin x cos x) = cos^cancel(2)x/(sin x cancelcos x) #

#= cos x/sin x = cot x# #\color(green)(\sqrt())#

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