Identify the quadrant or quadrants for the angles satisfying

Identify the quadrant or quadrants for the angles satisfying the following conditions. sin alpha

Solution

As the diagram for the signs of the trigonometry functions is

SIN || ALL
____||_____
TAN || COS
____||_____

where the trigonometry functions written there are the quadrants in which they are positive

Given

sin <0 and cos < 0

Hence, when cos < 0, it\'s either 2nd or 3rd quadrant,
but sin < 0, so it can\'t be 2nd quadrant

Therefore, the answer is 3rd quadrant!