SOLUTION: what is the expression csc x ÷ cot x equivalent to ?

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Question 600742: what is the expression csc x ÷ cot x equivalent to ?
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what is the expression csc x ÷ cot x equivalent to ?
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= csc*tan

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
csc(x)/cot(x)

csc(x)/( 1/tan(x) )

csc(x)*tan(x)

(1/sin(x))*(sin(x)/cos(x))

sin(x)/(sin(x)cos(x))

1/cos(x)

sec(x)


So csc(x)/cot(x) = sec(x) for all allowed domain values of x.