How do you simplify the expression $cot^2x+1$ ?

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Answer 1 · 2016-09-15T14:10:42

$csc^(2)(x)$

We have: $cot^(2)(x) + 1$

This expression can be simplfiified by applying one of the Pythagorean identities: $1 + cot^(2)(x) = csc^(2)(x)$

$= csc^(2)(x)$

Answer 2 · 2018-07-19T15:24:13

$csc^2x$

Let's say you didn't know the identity: $1+cot^2x= csc^2x$
Another approach could be:

$cot^2x+1=$

$cos^2x/sin^2x+sin^2x/sin^2x=$

$(cos^2x+sin^2x)/sin^2x=$

$1/sin^2x=$

$csc^2x$

How do you simplify the expression cot^2x+1cot^2x+1?