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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{1}{2 cot ( 1 - cos ^{2} ( 1 ) )} = 0.42809 \dots

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

Refine to a decimal form

= 0.42809 \dots

csc (2 \cdot 1) = 1.09975 \dots

csc (2 \cdot 1)

Refine to a decimal form

= 1.09975 \dots

The two sides are not equal

\Rightarrow False

p ro v e cot (u) = \frac{1}{tan ( u )}

p ro v e - sin (2 x) = - 4 cos (x) sin (x)

p ro v e cos (θ) (tan (θ) - sec (- θ)) = sin (θ) - 1

p ro v e cos (\frac{π}{2}) = - 0

p ro v e cos (x) + 1 = sin (2 x)

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