find the measure in degress of the least positive angle?

Question

that is coterminal with each given angle


1) 13pi/5

2) -35pi/6

3) 29pi/12


if anyone could help do and explain these problems and those like it for me id really appreciate it. thanks in advance.

Answer 1

13 X 180 / 5 = 468
468/360 gives quotient 1
468 - 1 X 360 = 108

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-35 X 180 /6 = -1050
1050/360 gives quotient 2
-1050 + 2 X 360 = -330
OR -1050 + (2 + 1= 3) X 360 = 30

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29X180/12 = 435
435/360 gives quotient 1
435 - 1 X 360 = 75

Answer 2

ok, this is really simple. the angles given are in radians, so make sure ur answers are in radians. to make it simple, first convert the angles into degrees (multiply each angle by 180/pi). then the angle. the smallest angle would be in the first quadrant (from 0 to 90 degrees). for example, the first angle = 468 degrees. subtract 360 degrees from that . = 108 degrees. (this is coterminal.) this angle can also equal 72 degrees (108 - 90 = 12, then 90 - 12 = 72). the reason why this works is because the sin of an angle in quadrant 1 = the sin of an angle in quadrant 2. check it in ur calculator and it should work. then do the same for the other angles. i hope this is right.

Answer 3

1) 13pi/5 = 13 *pi *180/(5 pi)468 degrees =468-360 = 108 degrees

2) -35pi/6= 35*pi*180/(6pi)=1050 = 1050-720 = 330 degs

3) 29pi/12=29*pi*180/(12pi)=435 = 435-360 = 75 degs

Answer 4

pi= 3.14
/= divided by

1. 13 x 3.14 = 40.82 / 5 = 8.164
2. -35 x 3.14 = -109.9 / 6= 21.98
3. 29 x 3.14 = 91.06 /12 = 7.58333333333...

if thats what u mean

oh i forgot its about angles !!! so sorry....