Math Simplification | Simplifying the Expression 1 + cot^2x Using the Cotangent Identity

1 + cot^2x =

To simplify the expression 1 + cot^2x, we can use the identity for cotangent:

cot^2x = csc^2x – 1

Substituting this identity into the expression, we have:

1 + cot^2x = 1 + (csc^2x – 1)

Now, we combine like terms:

1 + cot^2x = 1 + csc^2x – 1

The 1 and -1 cancel out, leaving us with:

1 + cot^2x = csc^2x

Therefore, the simplified expression is csc^2x

To simplify the expression 1 + cot^2x, we can use the identity for cotangent:

cot^2x = csc^2x – 1

Substituting this identity into the expression, we have:

1 + cot^2x = 1 + (csc^2x – 1)

Now, we combine like terms:

1 + cot^2x = 1 + csc^2x – 1

The 1 and -1 cancel out, leaving us with:

1 + cot^2x = csc^2x

Therefore, the simplified expression is csc^2x.

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