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THE TOPICS

11.   Ratio and Proportion.  Similar Triangles

12.   Radicals:  Rational and Irrational

12.   Numbers

13.   The Pythagorean Theorem

14.   Definitions of the Trigonometric

14.   Functions of an Acute Angle

15.   Trigonometry of Right Triangles

Similar figures. All functions from one function. Complements. Cofunctions.

16.   The Isosceles Right Triangle

17.   The 30°-60°-90° Triangle

18.   Solving Right Triangles

19.   The Law of Sines

10.   The Law of Cosines

11.   The Circle

The definition of π. The remarkable π/4.

12.   Evaluating π

The ratio of a chord to the diameter.
The area of a circle.

13.   Measurement of Angles

Standard position. Degree measure.
The four quadrants. Coterminal angles.

14.   Radian Measure

Radians into degrees. Degrees into radians. Coterminal angles. The multiples of π.

15.   Arc Length

The definition of radian measure.  s = rθ.

16.   Analytic Trigonometry:  The Unit Circle

The analytic definition of the trigonometric functions.
The signs in each quadrant.
Quadrantal angles.

17.   Trigonometric Functions of Any Angle

The corresponding acute angle.
cos (−θ) and sin (−θ). Polar coordinates.

18.   Line Values

19.   Graphs of the trigonometric functions

The zeros of sin θ. The period of a function.

20.   Inverse trigonometric functions

21.   Trigonometric identities

Three-place Trigonometric Table

Some Theorems of Plane Geometry

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