Question

find the value of tan 1140 degrees​

Answer 1

Answer:

√3

Step-by-step explanation:

tan1140°=tan(19π/3)

=tan(6 1/3 π)

=tan(6π+π/3)

=tan π/3

=tan60°

=√3

*Hope it's helpful

Answer 2

The value is $\tan (1140)^\circ=\sqrt3$.

Step-by-step explanation:

Given : Expression $\tan 1140^\circ$.

To find : The value of the expression ?

Solution :

We can write the expression as,

$\frac{19\pi}{3}=\frac{19}{3}\times 180=1140$

So, $\tan (1140)^\circ=\tan (90\times 12 + 60)$

Since 1140 lies in the 1st quadrant and in this quadrant tangent function is positive, also 12 is an even integer.

$\tan (1140)^\circ=\tan (90\times 12 + 60)=\tan 60$

We know the value of $\tan 60=\sqrt{3}$

$\tan (1140)^\circ=\sqrt3$

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