What is the value of tan(300) ?

The value of tan(300) is -sqrt(3)

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tan(300)

tan (30 0^{\circ})

- 3

Solution steps

tan (30 0^{\circ})

tan (30 0^{\circ}) = tan (12 0^{\circ})

= tan (12 0^{\circ})

Rewrite using trig identities:

\frac{sin ( 12 0 ^{\circ} )}{cos ( 12 0 ^{\circ} )}

= \frac{sin ( 12 0 ^{\circ} )}{cos ( 12 0 ^{\circ} )}

Use the following trivial identity:

sin (12 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

cos (12 0^{\circ}) = - \frac{1}{2}

= \frac{\frac{3}{2}}{- \frac{1}{2}}

Simplify

\frac{\frac{3}{2}}{- \frac{1}{2}} : - 3

= - 3

cos (- \frac{5 π}{6})

2 tan^{2} (x) - 2 = 0

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

cos (x) = 5

2 cos (θ) - 3 = 0