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lara31 [8.8K]
3 years ago
10

What is tan11pi/6 ? Fraction

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
11pi/6 is in 4th quadrant.

The reference angle is pi/6 because 11pi/6 is pi/6 radians away from 'x' axis.

In 4th quadrant, sin is negative and cos is positive, therefore tan is negative.

This means:
tan(\frac{11\pi}{6}) = -tan(\frac{\pi}{6}) = -\frac{sin(\pi/6)}{cos(\pi/6)} = -\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = -\frac{1}{\sqrt{3}} = -\frac{\sqrt{3}}{3}
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