Question

Help meee pleaseee :(​

Answer 1

The answer I got was the last one that is correct

Answer 2

Hi there!

$\large\boxed{tan\text{ } (\frac{-\pi }{6})}$

**Recall that tangent is Opposite / Adjacent**

tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:

• tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.

• tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.

• cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.

• tan (-π / 6) is equal to -1 / √3. This choice is correct.

Therefore, the correct choice is tan (-π / 6).