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March 24, 2017

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

1. 30 degrees

2. 135 degreed


3. -93 degrees

  • calc - ,

    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 - ,

    1. positive 360 and 390
    negative -330 and -360


    2. positive 135 and 720
    negative -330 and -390

  • calc - ,

    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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