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TOPIC IN TRIGONOMETRY from Themathpage


Ratio and Proportion. Similar Triangles

Radicals: Rational and Irrational

Numbers

The Pythagorean Theorem

Definitions of the Trigonometric

Functions of an Acute Angle

Trigonometry of Right Triangles

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

The Isosceles Right Triangle

Solving Right Triangles

The Law of Sines

The Law of Cosines

The Circle

The definition of π. The remarkable π/4.

Evaluating π

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

Measurement of Angles

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

Radian Measure

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

Arc Length

The definition of radian measure. s = rθ.

Analytic Trigonometry: The Unit Circle

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

Trigonometric Functions of Any Angle

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

Line Values

Graphs of the trigonometric functions

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

Inverse trigonometric functions

Trigonometric identities

Three-place Trigonometric Table

Some Theorems of Plane Geometry



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