What is tan(x-1/2 pi) ?

The solution to tan(x-1/2 pi) is -cot(x)

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simplify tan(x-1/2 pi)

simplify

tan (x - \frac{1}{2} π)

- cot (x)

Solution steps

tan (x - \frac{1}{2} π)

Rewrite using trig identities

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

Rewrite using trig identities

= - cot (x)

cos (3 x - π)

cos (\frac{π}{2} - x) sec (x)

1 + tan^{2} (t)

\frac{e ^{x}}{cos ( x )}

sin (- x) - sin (x)