Extend understanding of angles to angles in standard position, expressed in degrees and radians.

Demonstrate understanding of the unit circle and its relationship to the six trigonometric ratios for any angle in standard position.

Demonstrate understanding of the graphs of the primary trigonometric functions.

Demonstrate understanding of first- and second-degree trigonometric equations.

Demonstrate understanding of trigonometric identities including:

• reciprocal identities
• quotient identities
• Pythagorean identities
• sum or difference identities (restricted to sine, cosine, and tangent)
• double-angle identities (restricted to sine, cosine, and tangent)

Demonstrate an understanding of operations on, and compositions of, functions.

Extend understanding of transformations to include functions (given in equation or graph form) in general, including horizontal and vertical translations, and horizontal and vertical stretches.

Demonstrate understanding of functions, relations, inverses and their related equations resulting from reflections through the:

• x-axis
• y-axis
• line $y=x$.

Demonstrate an understanding of logarithms including:

• evaluating logarithms
• relating logarithms to exponents
• deriving laws of logarithms
• solving equations
• graphing.

Demonstrate understanding of polynomials and polynomial functions of degree greater than 2 (limited to polynomials of degree $≤ 5$ with integral coefficients).

Demonstrate understanding of radical and rational functions with restrictions on the domain.

Demonstrate understanding of permutations, including the fundamental counting principle.

PC30.13 Demonstrate understanding of combinations of elements, including the application to the binomial theorem.