pre calculus problem of the day homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds on the unit...

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Pre calculus Problem of the Day Homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds On the unit circle name all indicated angles by their first positive name, both in degrees and radians.

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Page 1: Pre calculus Problem of the Day Homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds On the unit circle name all indicated angles by their first positive

Pre calculus Problem of the DayHomework: p. 472 1-17 odds, 25-31 odds, 39-59 oddsPre calculus Problem of the DayHomework: p. 472 1-17 odds, 25-31 odds, 39-59 odds

On the unit circle name all indicated angles by their first positive name, both in degrees and radians.

Page 2: Pre calculus Problem of the Day Homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds On the unit circle name all indicated angles by their first positive

QuickTime™ and a decompressor

are needed to see this picture.

http://www.libraryofmath.com/pages/measure-of-angles/Images/measure-of-angles_gr_62.gif

Page 3: Pre calculus Problem of the Day Homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds On the unit circle name all indicated angles by their first positive

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

http://en.wikipedia.org/wiki/Unit_circle

Page 4: Pre calculus Problem of the Day Homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds On the unit circle name all indicated angles by their first positive

Unit Circle has the equation

x2 + y2 =1

We are going to define the 6 trigonometric functions in terms of the unit circle, a point on the circle, P(x, y), and a distance, t, that we move around the circle starting at the point (1, 0)

Page 5: Pre calculus Problem of the Day Homework: p. 472 1-17 odds, 25-31 odds, 39-59 odds On the unit circle name all indicated angles by their first positive

Trigonometric Functions

For t equal to any real number and P(x, y) the terminal point determined by t on the unit circle, the six trigonometric functions are as follows:

sine cosine tangent

sin t = y cos t = x tan t = y/x

cosecant secant cotangent

csc t = 1/y sec t = 1/x cot t = x/y