1 + cot^2 x
To simplify the expression 1 + cot^2 x, we can make use of the trigonometric identity for cotangent
To simplify the expression 1 + cot^2 x, we can make use of the trigonometric identity for cotangent.
The identity for cotangent is cot^2 x = 1 + csc^2 x.
Rearranging the terms in the identity, we have csc^2 x = cot^2 x – 1.
Substituting this into the original expression, we get:
1 + cot^2 x = 1 + (cot^2 x – 1)
Simplifying, we have:
1 + cot^2 x = 1 + cot^2 x – 1
Combining like terms, we get:
1 + cot^2 x = cot^2 x
Therefore, 1 + cot^2 x simplifies to cot^2 x.
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