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Construct the inverse trigonometric functions of sine, cosine, and tangent by restricting the domain.
Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
Prove the addition and subtraction formulas for sine, cosine, and tangent. Use the formulas to solve problems.
Find a sinusoidal function to model a data set and explain the parameters of the model.
Prove the double- and half-angle formulas for sine, cosine, and tangent. Use the formulas to solve problems.