Which of the following best explains why? 1. The angles do not have the same reference angle. 2. Tangent is positive in the second quadrant and negative in the fourth quadrant. 3. Tangent is negative in the second quadrant and positive in the fourth quadrant. 4. The angles do not have the same reference angle or the same sign.

The angles do not have the same reference angle or the same sign.

Step-by-step explanation:

Given:

Statements related to the angle and the quadrant.

To Find:

Which statement gives best explanation

Solution:

Statements are follows:

1) The angles dont have same reference angle:

This statement is not totally true because some angles may have same reference angle. i. e depending upon the quadrant reference angle are founded.

2) Tangent is positive in second quadrant and negative in 4th quadrant:

Above half statement is false because tangent is positive in 3rd and 1st quadrant and negative in rest of quadrant.

3) Tangent is negative in 2nd quadrant and positive in 4th quadrant:

Similarly it is half negative as tangent is positive in 3 and 1 quadrant only.

4) The angles dont have same reference angle or the same sign.

This statement is true in terms of sign because reference angle will not have same sign. this gives best explanation.