What is the value of tan(-(4pi)/3) ?

The value of tan(-(4pi)/3) is -sqrt(3)

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tan(-(4pi)/3)

tan (- \frac{4 π}{3})

- 3

Solution steps

tan (- \frac{4 π}{3})

Use the following property:

tan (- x) = - tan (x)

tan (- \frac{4 π}{3}) = - tan (\frac{4 π}{3})

= - tan (\frac{4 π}{3})

tan (\frac{4 π}{3}) = tan (\frac{π}{3})

= - tan (\frac{π}{3})

Use the following trivial identity:

tan (\frac{π}{3}) = 3

= - 3

2 sin^{2} (x) + 3 cos (x) - 3 = 0

sin (\frac{17 π}{12})

sin (x) = - 1

\frac{cos ( 3 x )}{cos ( x )} = 1 - 4 sin^{2} (x)

cos (- 2 π)