State Frameworks
T.1.b: Determine the product and quotient of complex numbers in trigonometric form.
T.1.d: Explain the addition formulas for sine and cosine and use them to prove (or simplify) other trigonometric functions.
Sum and Difference Identities for Sine and Cosine
T.2.b: Analyze properties of vectors and the effects of these properties on operations with vectors.
T.3.b: Identify and apply trigonometric identities.
Simplifying Trigonometric Expressions
Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine
T.3.c: Verify identities analytically and with technology.
Sum and Difference Identities for Sine and Cosine
T.4.b: Apply the six trigonometric functions in relation to a right triangle to solve real-world applications and problems in mathematical settings.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
T.4.d: Recognize, sketch, and interpret graphs of the six trigonometric functions and include restrictions on their domain.
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
T.4.e: Model and apply right triangle formulas, Law of Sines, and Law of Cosines to problem-solving situations.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
T.5.a: Find arc length and sector area of a circle.
T.5.b: Using graphs of functions of the form f(t) = A sin (Bt + C) or f(t) = A cos (Bt + C), interpret A, B, C in terms of amplitude, frequency, period, and phase shift.
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Correlation last revised: 5/17/2018