Question

In which quadrant does -336 lie?A. IVOB.IOC. IID. IIIReset Selection

Answer 1

Recall that an angle Θ:

1) Lies in quadrant 1 if Θ is coterminal to an angle between 0 and 90 degrees.

2) Lies in quadrant 2 if Θ is coterminal to an angle between 90 and 180 degrees.

3) Lies in quadrant 3 if Θ is coterminal to an angle between 180 and 270 degrees.

4) Lies in quadrant 4 if Θ is coterminal to an angle between 270 degrees and 360 degrees.

Now, recall that Θ and Θ+360 degrees are coterminal angles.

Notice that:

`-336^(\circ)+360^(\circ)=24^(\circ).`

Since:

`0^(\circ)<24^(\circ)<90^(\circ),`

and -336 degrees is coterminal to 24 degrees, then -336 degrees lies on quadrant I.

Answer: Option B.