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

The answer to whether 1-cot(x)=sqrt(csc^2(x)-2cot(x)) is False

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = \frac{1}{2}

1 - cot (\frac{1}{2}) = - 0.83048 \dots

1 - cot (\frac{1}{2})

Refine to a decimal form

= - 0.83048 \dots

csc^{2} (\frac{1}{2}) - 2 cot (\frac{1}{2}) = 0.83048 \dots

csc^{2} (\frac{1}{2}) - 2 cot (\frac{1}{2})

Refine to a decimal form

= 0.83048 \dots

The two sides are not equal

\Rightarrow False

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