What is the value of tan(-(13pi)/3) ?

The value of tan(-(13pi)/3) is -sqrt(3)

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tan(-(13pi)/3)

tan (- \frac{13 π}{3})

- 3

Solution steps

tan (- \frac{13 π}{3})

Use the following property:

tan (- x) = - tan (x)

tan (- \frac{13 π}{3}) = - tan (\frac{13 π}{3})

= - tan (\frac{13 π}{3})

tan (\frac{13 π}{3}) = tan (\frac{π}{3})

= - tan (\frac{π}{3})

Use the following trivial identity:

tan (\frac{π}{3}) = 3

= - 3

2 cos^{2} (x) - sin (x) - 1 = 0

tan (\frac{π}{12})

2 cos^{2} (x) = 1

cos (u) cos (v) + sin (u) sin (v) = cos (u - v)

2 tan (x) - 3 cot (x) - 1 = 0