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

1 Answer
Noah G
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!

Related questions
See all questions in Radian Measure
Impact of this question
2890 views around the world
You can reuse this answer
Creative Commons License