To verify the Pythagorean identity, we start with the given equation:
1 + cot^2 θ = csc^2 θ
Using trigonometric identities, we know that cot^2 θ = 1 + csc^2 θ.
Plugging this in, we get:
1 + 1 + csc^2 θ = csc^2 θ
Simplifying, we get:
2 + csc^2 θ = csc^2 θ
Subtracting csc^2 θ from both sides, we get:
2 = 0
This equation is not true, so the given identity 1 + cot^2 θ ≠ csc^2 θ and is not a valid Pythagorean identity.
Verify the Pythagorean Identity.
1+cot^2 θ=csc^2 θ
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