Question

In which quadrants do sine and tangent have the opposite sign?

Answer 1

Quadrant 2 and Quadrant 3.

Explanation:

First let's list where sine is positive and sine is negative.

QI and Q2: Sine is `+`
Q3 and Q4: Sine is `-`

Now for tangent:

Q1 and Q3: Tangent is `+`
Q2 and Q4: Tangent is `-`

Comparing and contrasting, you'll find that in Quadrant `3`, sine is negative and tangent is positive (they have opposite signs). Also, in quadrant `2`, sine is positive and tangent is negative (they have opposite signs).

Hopefully this helps!