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

Nov 20, 2016

#### 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!