Question

Suppose theta is an angle in standard position with the given conditions. State the quadrants in which the terminal side of theta lies. Sin theta > 0

Answer 1

1st and 2nd

Explanation:

If sin theta > 0,

Before we can determine the quadrant that theta lies, we need to calculate the value of theta first as shown;

`sin \theta > 0\\\theta > sin^(-1)0\\\theta > 0^0`

Since theta > 0°, this means that the value of theta is always positive, and since sintheta is positive in the first and second quadrants, hence the terminal side of theta lies in the FIRST AND SECOND QUADRANT