How do you verify the identity #1/(tanthetacsctheta)=costheta#?

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Answer 1 · 2017-01-17T19:11:42

see below

Left Hand Side:

#1/(tan theta csc theta) = 1/(sin theta / cos theta * 1/sin theta#

#= 1/(cancel (sin theta) / cos theta * 1/cancel (sin theta)#

#=1/(1/costheta)#

#=1 * cos theta/ 1#

#= cos theta#

#:.=# Right Hand Side