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

1 Answer
Nov 20, 2016

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!