00:01
We know determine the reference angle for the given angles.
00:04
In part a, we have to determine the reference angle for the angle 1 75 degree.
00:08
So first we draw this 1 75 degree using the angle coordinates.
00:13
Here i have drawn this and i have shown this using a blue color.
00:17
And the definition of reference angle, it is the acute angle between the terminal side and the x -axis.
00:24
And so we can see that this terminal side makes an angle with the x -axis.
00:29
So basically we have to determine this angle, which i have shown in red color.
00:34
And to determine this angle, we take this full angle till 180 degree.
00:39
And then we subtract this given angle 1 75 degree.
00:43
So here the reference angle is 180 degree minus 175 degree.
00:54
And that equals 5 degrees.
00:57
So the reference angle of 175 degree equals 5 degree.
01:02
Now let's do part b.
01:04
Here we have to determine the reference angle for the angle 310 degree.
01:09
So here i have first drawn the 310 degree.
01:13
So the terminal side of this 300 degree 10 degree lies in quadrant 4...