Raymond B. answered • 02/05/23
Math, microeconomics or criminal justice
20 x 200 = 4000
50 x 40 = 2000
add them
4000+2000 = 6000 degrees
6000-3600 = 2400
2400-360(6)=2400-2160 = 240 degrees
the sum of the angles have the same direction as 240 degrees
on a circle
20(200)+50(40) = 20(5)(40) +50(40) = 150(40) = 6000 degrees total
6000-7200=-1200
-1200+720=-480
-480+720= 240 degrees
6000 and 240 degrees are in quadrant III with the same reference angle 240-180 = 60 degrees
sin6000=sin240=-sin60= -sqr3/2
cos6000=cos240 = -cos60 = -1/2
tan6000=tan240 =tan60 = 1/sqr3 = sqr3/3
sec6000=sec240=-sec60= -2
cot6000=cot240 =cot60 = sqr3
csc6000=csc240 = -csc60= -2/sqr3 = -2sqr3/3
on a unit circle
6000 degrees and 240 degrees have the same terminal point
(-1/2, -sqr3/2) in rectangular coordinates,
with magnitude = 1, in polar coordinates (1, 240) =(-1, 60)= (-1,pi/3) = (1, 4pi/3)
