Monday, October 17, 2011

practice with fractions of a circle


Consider 17/19 of the circle as an angle, which we will call theta.

a) Write theta as an angle in decimal degrees, rounded to four places.
b) Write theta in DMS, rounded to nearest degree.
c) Write theta as an exact fraction of the circle using pi.
d) Write theta as radians written without pi, rounded to four places after the decimal.
e) sin theta
f) cos theta
g) tan theta
h) cot theta
i) sec theta
j) csc theta

Answers in the comments.
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3 comments:

  1. Prof. HubbardOctober 17, 2011 at 7:39 PM

    a) Write theta as an angle in decimal degrees, rounded to four places.

    17/19*360 ~= 322. 1053°

    b) Write theta in DMS, rounded to nearest degree.

    ~= 322° 6' 19"

    c) Write theta as an exact fraction of the circle using pi.

    34/19 pi

    d) Write theta as radians written without pi, rounded to four places after the decimal.

    ~= 5.6218

    e) sin theta

    ~= -0.6142

    f) cos theta

    ~= .7891

    g) tan theta

    ~= -0.7783

    h) cot theta

    ~= -1.2848

    i) sec theta

    ~= 1.2672

    j) csc theta

    ~= -1.6281

    ReplyDelete
  2. LashellOctober 20, 2011 at 2:10 PM

    This comment has been removed by the author.

    ReplyDelete
  3. LashellOctober 20, 2011 at 2:12 PM

    Cool I got the answer right! :-) Hopefully I do well on the exam. The math lab is helping me understand things better.

    ReplyDelete

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