What is tan(pi/3-x) ?

The solution to tan(pi/3-x) is (sqrt(3)-tan(x))/(1+sqrt(3)tan(x))

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simplify tan(pi/3-x)

simplify

tan (\frac{π}{3} - x)

\frac{3 - tan ( x )}{1 + 3 tan ( x )}

Solution steps

tan (\frac{π}{3} - x)

Rewrite using trig identities

= \frac{\frac{3}{2} cos ( x ) - \frac{1}{2} sin ( x )}{\frac{1}{2} cos ( x ) + \frac{3}{2} sin ( x )}

Rewrite using trig identities

= \frac{3 - tan ( x )}{1 + 3 tan ( x )}

sin (x + \frac{π}{2}) cos (x)

6 cos (3 π t + \frac{π}{3})

- cos (\frac{π}{2} + y)

tan (arctan (0) + arcsin (4 x))

tan (θ - 9 0^{\circ})

What is tan(pi/3-x) ?
The solution to tan(pi/3-x) is (sqrt(3)-tan(x))/(1+sqrt(3)tan(x))