What is sin(2tan^{(-1)}(x)) ?

The solution to sin(2tan^{(-1)}(x)) is sin(2cot(x))

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simplify sin(2tan^{(-1)}(x))

simplify

sin (2 tan^{(- 1)} (x))

sin (2 cot (x))

Solution steps

sin (2 tan^{- 1} (x))

Multiply

2 tan^{- 1} (x) : \frac{2}{tan ( x )}

= sin (\frac{2}{tan ( x )})

Use the basic trigonometric identity:

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

= sin (2 cot (x))

tan (arcsec (\frac{2 u}{a}))

3 cos (2 x + \frac{π}{2}) - 3

csc (a - 27 0^{\circ})

- cos (3 0^{\circ} + x)

cot (- 1 (tan (\frac{5 n}{3})))

What is sin(2tan^{(-1)}(x)) ?
The solution to sin(2tan^{(-1)}(x)) is sin(2cot(x))