Simplifying To A Single Expression

tristatefabricatorsinc

Junior Member
Joined
Jan 31, 2006
Messages
60
Simplify to a single expression:

cot x sec x


I have done...

cos x 1 1
------ * ------- = ------ = csc x
sin x cos x sin x

Should it be left as 1
--------
sin x

or would csc x make it completely simplified?

Thanks Everyone!
 
Hello, tristatefabricatorsinc!

Simplify to a single expression: cotxsecx\displaystyle \cot x\cdot\sec x

I have done: \(\displaystyle \L\:\frac{\cos x}{\sin x}\cdot\frac{1}{\cos x}\:=\:\frac{1}{\sin x}\:=\:\csc x\;\) . . . Good!

Should it be left as: 1sinx\displaystyle \,\frac{1}{\sin x} . . . or would cscx\displaystyle \csc x make it completely simplified?
cscx\displaystyle \text{csc}x is preferable . . . just as tanx\displaystyle \text{tan} x is simpler than 1cotx\displaystyle \frac{1}{\text{cot} x}
 
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