Is cot(2x)= 1/(2(cot(x)-tan(x))) ?

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

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prove cot(2x)= 1/(2(cot(x)-tan(x)))

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

cot (2 \cdot 1) = - 0.45765 \dots

cot (2 \cdot 1)

Refine to a decimal form

= - 0.45765 \dots

\frac{1}{2 ( cot ( 1 ) - tan ( 1 ) )} = - 0.54625 \dots

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

Refine to a decimal form

= - 0.54625 \dots

The two sides are not equal

\Rightarrow False

2 cos (x) - 2 cos^{3} (x) = sin (x) (sin (2 x))

\frac{sin ( 6 x )}{cos ( 6 x )} = 6 sin (x)

sin (2 a) + cos (2 a) cot (2 a) = csc (2 a)

sin^{2} (x) + cos (2 x) = cos (x)

tan (\frac{2 π}{3}) = \frac{\frac{243}{4}}{- \frac{9}{2}}

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