Is prove-1-cot^2(x)=-csc^2(x) ?

The answer to whether prove-1-cot^2(x)=-csc^2(x) is True

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prove-1-cot^2(x)=-csc^2(x)

prove

- 1 - cot^{2} (x) = - csc^{2} (x)

True

Solution steps

- 1 - cot^{2} (x) = - csc^{2} (x)

Use the Pythagorean identity:

1 + cot^{2} (x) = csc^{2} (x)

- 1 - cot^{2} (x) = - csc^{2} (x)

\Rightarrow True

sin (2 x) + cos (x) = 0

cot (x) (tan (x) sin (x) + cos (x)) = csc (x)

1 - sin (2 x) csc (x) = cos (x) cot (x)

\frac{cos ( 2 x )}{1 - sin ^{2} ( x )} = 2 - sec^{2} (x)

cot (\frac{y}{2}) = \frac{sin ( y )}{1 - cos ( y )}

Is prove-1-cot^2(x)=-csc^2(x) ?
The answer to whether prove-1-cot^2(x)=-csc^2(x) is True