(4) Number and measure. The student uses process standards in mathematics to apply appropriate techniques, tools, and formulas to calculate measures in mathematical and real-world problems. The student is expected to:
(A) determine the relationship between the unit circle and the definition of a periodic function to evaluate trigonometric functions in mathematical and real-world problems;
(B) describe the relationship between degree and radian measure on the unit circle;
(C) represent angles in radians or degrees based on the concept of rotation and find the measure of reference angles and angles in standard position;
(D) represent angles in radians or degrees based on the concept of rotation in mathematical and real-world problems, including linear and angular velocity;
(E) determine the value of trigonometric ratios of angles and solve problems involving trigonometric ratios in mathematical and real-world problems;
(F) use trigonometry in mathematical and real-world problems, including directional bearing;
(G) use the Law of Sines in mathematical and real-world problems;
(H) use the Law of Cosines in mathematical and real-world problems;
(I) use vectors to model situations involving magnitude and direction;
(J) represent the addition of vectors and the multiplication of a vector by a scalar geometrically and symbolically; and
(K) apply vector addition and multiplication of a vector by a scalar in mathematical and real- world problems.