What is cot(arctan(1/(1+x))) ?

The solution to cot(arctan(1/(1+x))) is 1+x

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simplify cot(arctan(1/(1+x)))

simplify

cot (arctan (\frac{1}{1 + x}))

1 + x

Solution steps

cot (arctan (\frac{1}{1 + x}))

Use the following identity:

cot (arctan (x)) = \frac{1}{x}

= \frac{1}{( \frac{1}{1 + x} )}

Simplify

= 1 + x

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