What happens to sin(t) in Quadrant II as t increases?

Question

What happens to sin(t) in Quadrant II as t increases?

sin (t) becomes negative

sin (t) increases

sin (t) decreases

sin (t) stays the same

pls provide an explanation and step-by-step answer

Answer 1

Hi Saja,

Quadrant II is defined by:

π / 2 < t < π (in radians)

or

90° < t < 180° (in degrees)

So if t is increasing inside of quadrant II, you can think of t starting at t = π / 2 and ending at t = π or starting at 90° and ending at 180°. You can check and verify that the sin(t) is decreasing as we get closer to t = π or t = 180°. In fact sin(t) approaches zero as t approaches π or 180°.

sin(t) decreases as t increases in the second quadrant