What is the value of tan((-5pi)/3) ?

The value of tan((-5pi)/3) is square root of 3

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tan((-5pi)/3)

tan (\frac{- 5 π}{3})

3

Solution steps

tan (\frac{- 5 π}{3})

Simplify

= tan (- \frac{5 π}{3})

Use the following property:

tan (- x) = - tan (x)

tan (- \frac{5 π}{3}) = - tan (\frac{5 π}{3})

= - tan (\frac{5 π}{3})

tan (\frac{5 π}{3}) = tan (\frac{2 π}{3})

= - tan (\frac{2 π}{3})

Rewrite using trig identities:

tan (\frac{2 π}{3}) = - 3

= - (- 3)

Simplify

= 3

e^{\frac{π}{2}} - e^{a r c t a n (1 + 0^{2})}

\frac{8}{tan ( 7 0 ^{\circ} )}

arcsin (\frac{6}{18})

sin (arcsin (\frac{4}{5}) - arctan (\frac{5}{12}))

47 sin (10 8^{\circ})

What is the value of tan((-5pi)/3) ?
The value of tan((-5pi)/3) is square root of 3