Problem 1182

The expression simplifies to a constant, a single circular function, or a power of a circular function.

Use fundamental identities to simplify the expression.

cot x tan x

 

Solution:-

 

First, write all of the function in terms of sines and cosines.

tan x = \frac{sinx}{cosx} and cotx = \frac{cosx}{sinx}.

This allows us to simplify the expression.

cot x tan x  = \frac{cos x}{sin x} \frac{sin x}{cos x} = 1

Thus, cot x tan x = 1.

 

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