Question

Find the reference angles q for the angles given below. Find the quadrants in which the angles lie. In addition, show all the steps for deriving the answer.

1. = 50 degrees
2. = 120 degrees
3.
4. = 3.3
5. = 300 degrees
6. = –145 degrees

Answer 1

1=reference angle is 50 and its in first quadrant
2=reference angle is 60 and in second quadrant
3=I have no clue
4=reference = 0.1584073464102067 and its in 3rd quadrant
5=reference is 60 and its in 4th quadrant
6= reference is 35 and its in the 3rd quadrant

Answer 2

ok thanks gimme a sec for number 3

Answer 3

lol ok

Answer 4

\[\theta= 6\pi/7\]

Answer 5

6pi over 7

Answer 6

is that 3?

Answer 7

yeah

Answer 8

reference is 0.44 and its in 2nd quadrant

Answer 9

thanks big help. i hate trig

Answer 10

Hey man, to figure out the quadrant is pretty easy.
Basically, the quadrants are:
Top right- quadrant 1
Top left- quadrant 2
Bottom left- quadrant 3
Bottom right- quadrant 4

All angles, in standard position, start at the positive x axis and go around from there. Now, if they are positive, they go counter clockwise. If they are negative they go clockwise. So whatever the angle, just count around in the right direction and see which quadrant you land in. Count 90 degrees at a time to make it easy.

Answer 11

And reference angle just means look at where the angle ends up and what is the smallest angle that is formed between there and the x axis.
The x axis is 0 degrees and 180 degrees, so what is the smallest number I can add or subtract from the angle to get to 0 or 180?