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Which of the following is true of the location of an angle, Theta, whose tangent value is - sqrt3/3?
Theta has a 30-degree reference angle and is located in Quadrant II or IV
Theta has a 30-degree reference angle and is located in Quadrant II or III
Theta has a 60-degree reference angle and is located in Quadrant II or IV
Theta has a 60-degree reference angle and is located in Quadrant II or III

Respuesta :

altavistard

Answer:

Step-by-step explanation:

Keep in mind that the tangent function is negative in Quadrants II and IV.

Of the three possible answers, the 2nd is invalid because the tangent is positive in Q III.

If the reference angle were in Quadrant II and had the value 30° (second possible answer), then the opposite side would be +1, the adjacent side -√3 and the hypotenuse 2.  Based on this, the tangent of theta would be opp / adj, or +1 / (-√3)  or -√3/3.    This is correct.

Answer:

It's A

Step-by-step explanation:

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