Posted by **peter** on Tuesday, March 31, 2009 at 9:53pm.

Give 2 positive and 2 negative angles that are coterminal with each angle?

1. 30 degrees

2. 135 degreed

3. -93 degrees

- calc -
**Reiny**, Tuesday, March 31, 2009 at 10:01pm
you can find coterminal angles by adding or subtracting multiples of 360 degrees to any given angle.

e.g. 30 + 360

so 30 and 390 are coterminal

135 + 720 = 755

so 135 and 755 are coterminal.

30 - 360 = -330

so 30 and -330 are ....etc.

- calc check these please -
**peter**, Tuesday, March 31, 2009 at 10:13pm
1. positive 360 and 390

negative -330 and -360

2. positive 135 and 720

negative -330 and -390

- calc -
**Reiny**, Tuesday, March 31, 2009 at 10:27pm
either you misunderstood my examples or you are making arithmetic errors.

think of any angle.

To end up in the same position (coterminal) you would go around once, or twice, or three times...

either in a positive or in a negative direction, wouldn't you?

e.g. your angle of -93 degrees

adding 360 to it gives us 267

now adding another 360 gives us 627

subtraction 360 from -93 gives us -453

and subtracting another 360 yields -813

so -813, -453, 267 , and 627 are all coterminal with -93

taking the sine of each of those will yield the same answer

taking the cosine of each of those will yield the same answer

taking the tangent .....

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