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  1. Periodic Formulas. If n is an integer. sin ( q + 2 p n ) = sin q csc ( q + 2 p n ) = csc q. cos ( q + 2 p n ) = cos q sec ( q + 2 p n ) = sec q. tan ( q + p n ) = tan q cot ( q + p n ) = cot q.

  2. know how cos, sin and tan functions are defined for all real numbers; be able to sketch the graph of certain trigonometric functions; know how to differentiate the cos, sin and tan functions; understand the definition of the inverse function f−1(x) = cos− 1(x).

  3. Period. The period of a function is the number, T, such that f ( θ + T ) = f ( θ ) . So, if ω is a fixed number and θ is any angle we have the following periods. sin → 2 π T = ω ( ωθ ) cos ( ωθ ) → 2 π T = ω. tan ( ωθ ) → π T = ω. csc ( ωθ ) → = 2 π T ω. sec ( ωθ ) → 2 π T = ω.

  4. Periods of the Trig Functions. The period of a function is the number, T, such that f ( +T ) = f ( ) . So, if ! is a xed number and is any angle we have the following periods. 2. sin(! ) ) T = ! 2. cos(! ) ) T = !

  5. Khan Academy – Supplies a free online collection of thousands of micro lectures via YouTube on numerous topics. It's math and science libraries are extensive. Analyze Math Trigonometry – Contains free Trigonometry tutorials and problems. Uses Java applets to explore important topics interactively.

  6. Trigonometry: Law of Sines, Law of Cosines, and Area of Triangles. Formulas, notes, examples, and practice test (with solutions) Topics include finding angles and sides, the “ambiguous case” of law of Sines, vectors, navigation, and more.

  7. Symbolab Trigonometry Cheat Sheet Basic Identities: (tan )=sin(𝑥) cos(𝑥) (tan )= 1 cot(𝑥) (cot )= 1 tan(𝑥)) cot( )=cos(𝑥) sin(𝑥) sec( )= 1 cos(𝑥)

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