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STANDARDS

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US-NY

Math

New York Math

The Plus (+) Standards: Functions - Trigonometric Functions

Extend the domain of trigonometric functions using the unit circle.

(+)-F.TF.3

Mostly covered
Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.

Model periodic phenomena with trigonometric functions.

(+)-F.TF.6

Fully covered
Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.

(+)-F.TF.7

Not covered
Solve trigonometric equations: analytically with inverse functions and; graphically with technology and interpret solutions in terms of the context.
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Prove and apply trigonometric identities.

(+)-F.TF.9

Fully covered
Prove the sum and difference formulas for sine, cosine, and tangent and use them to solve problems.