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Trigonometry

Mind Map

Unit Circle

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Unit Circle

What is it?

The unit circle is a commonly used tool in trigonometry because it helps the user to remember the special angles and their trigonometric functions. The unit circle is a circle drawn with its center at the origin of a graph(0,0), and with a radius of 1.

What is it?

Radians

Equation

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Degrees

Equation

Circular Trig Functions

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Circular Trig Functions

Essential understandings

Essential understandings

A graph of a circle is formed when an arc is drawn from a fixed point in such a way that any point on the curve is the same distance from the center. A special type of circle is x2 + y2 = r2 where (0, 0) is the origin or center, and r is the radius of the circle.

Right Triangle

"The six trigonometric functions are defined as ratios of sides in a right triangle. Their values depend only on the angle and not on any particular right triangle."

- Soh (sin) Cah (cos) Toa (tan)

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Right Triangle Trig Functions

Graphs

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Graphs of Sin and Cos

https://image.slidesharecdn.com/lecture15-section5-140701133335-phpapp01/95/lecture-15-section-54-graph-of-sin-cos-3-638.jpg?cb=1404221662

Cos

Sin

Graphs

Click to edit text

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Graphs of Tan, Cot, Sec, and Csc

Cot

Tan

Sec

Csc

Double click to edit

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Y = d+asin(bx-c)

Equation

Law of Sines

We prove this law by creating right triangles to prove the law statement

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Law of Sines

Law of Cosines

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Law of Cosines

Double Angle Formulas

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Double Angle Formulas

Power Reducing Formulas

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Power Reducing Formulas

Sum to Product Formulas

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Sum to Product Formulas

Product to Sum Formulas

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Product to Sum Formulas

Even/Odd Identities

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Even/Odd Identities

Sum and Difference Formulas

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Sum and Difference Formulas

Trig Proofs: Sum and Difference Formulas

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Trig Proofs

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