What is 2tan(x-5/2 pi) ?

The solution to 2tan(x-5/2 pi) is -2cot(x)

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simplify 2tan(x-5/2 pi)

simplify

2 tan (x - \frac{5}{2} π)

- 2 cot (x)

Solution steps

2 tan (x - \frac{5}{2} π)

Rewrite using trig identities

= 2 (- \frac{cos ( x )}{sin ( x )})

Simplify

2 (- \frac{cos ( x )}{sin ( x )}) : - \frac{2 cos ( x )}{sin ( x )}

= - \frac{2 cos ( x )}{sin ( x )}

Rewrite using trig identities

= - 2 cot (x)

e^{t - \frac{π}{2}} sin (2 t - π)

tan (2 x - \frac{π}{2}) - 1

cot (arcsec (\frac{x}{a}))

cos ((t - π) + π)

cos (x - \frac{π}{5})