1 + cot^2x =
To simplify the expression 1 + cot^2x, let’s recall the trigonometric identity for cotangent
To simplify the expression 1 + cot^2x, let’s recall the trigonometric identity for cotangent.
The cotangent of an angle x is equal to the reciprocal of the tangent of x:
cot(x) = 1 / tan(x)
Therefore, we can rewrite the expression as:
1 + (1 / tan^2x)
Next, let’s recall the Pythagorean identity for tangent. The Pythagorean identity states that:
1 + tan^2x = sec^2x
Using this identity, we can rewrite the expression as:
1 + (1 / tan^2x) = 1 + cot^2x = sec^2x
Therefore, the simplified expression of 1 + cot^2x is sec^2x.
More Answers:
[next_post_link]