What is tan(x+pi)+tan(x-pi) ?

The solution to tan(x+pi)+tan(x-pi) is 2tan(x)

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simplify tan(x+pi)+tan(x-pi)

simplify

tan (x + π) + tan (x - π)

2 tan (x)

Solution steps

tan (x + π) + tan (x - π)

Rewrite using trig identities

= \frac{sin ( x )}{cos ( x )} + tan (x - π)

Rewrite using trig identities

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

Simplify

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

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

Rewrite using trig identities

= 2 tan (x)

sin (480 t) + 3 sin (- 480 t)

csc (arctan (\frac{1 - x}{1 + x}))

cos (2 (t + \frac{π}{2}))

tan (π - θ) + tan (π + θ)

- a cos (\frac{π}{2} - b x)