Is (1/(2cot(x)(1-cos^2(x))))=2cot(x) ?

The answer to whether (1/(2cot(x)(1-cos^2(x))))=2cot(x) is False

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prove (1/(2cot(x)(1-cos^2(x))))=2cot(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{1}{2 cot ( 1 ) ( 1 - cos ^{2} ( 1 ) )} = 1.09975 \dots

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

Refine to a decimal form

= 1.09975 \dots

2 cot (1) = 1.28418 \dots

2 cot (1)

Refine to a decimal form

= 1.28418 \dots

The two sides are not equal

\Rightarrow False

3 sec^{2} (x) - 4 = 0

sin (3 θ) = 3 sin (θ) - 4 sin (3 θ)

(sec^{2} (x) cot (x)) + cot (x) = tan (x)

cos (- \frac{1}{2}) = cos (\frac{2}{2})

(\frac{1}{2} sin^{2} (θ)) = (\frac{1}{2} cos (2 θ))

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