1 + cot^2x =
To simplify the expression 1 + cot^2x, we’ll first convert cot^2x into its equivalent form using trigonometric identities
To simplify the expression 1 + cot^2x, we’ll first convert cot^2x into its equivalent form using trigonometric identities.
Recall the Pythagorean identity for cotangent:
cot^2x = 1 + tan^2x
Now, substitute the tan^2x term from the Pythagorean identity into the original expression:
1 + cot^2x = 1 + (1 + tan^2x)
Simplify by combining like terms:
1 + cot^2x = 1 + 1 + tan^2x
Combine further:
1 + cot^2x = 2 + tan^2x
So, 1 + cot^2x simplifies to 2 + tan^2x.
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