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 TITLE 19 EDUCATION PART 2 TEXAS EDUCATION AGENCY CHAPTER 111 TEXAS ESSENTIAL KNOWLEDGE AND SKILLS FOR MATHEMATICS SUBCHAPTER C HIGH SCHOOL RULE §111.42 Precalculus, Adopted 2012 (One-Half to One Credit)
 (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.   (5) Algebraic reasoning. The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms. The student is expected to:     (A) evaluate finite sums and geometric series, when possible, written in sigma notation;     (B) represent arithmetic sequences and geometric sequences using recursive formulas;     (C) calculate the nth term and the nth partial sum of an arithmetic series in mathematical and real-world problems;     (D) represent arithmetic series and geometric series using sigma notation;     (E) calculate the nth term of a geometric series, the nth partial sum of a geometric series, and sum of an infinite geometric series when it exists;     (F) apply the Binomial Theorem for the expansion of (a + b)n in powers of a and b for a positive integer n, where a and b are any numbers;     (G) use the properties of logarithms to evaluate or transform logarithmic expressions;     (H) generate and solve logarithmic equations in mathematical and real-world problems;     (I) generate and solve exponential equations in mathematical and real-world problems;     (J) solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;     (K) solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems;     (L) solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems;     (M) use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions; and     (N) generate and solve trigonometric equations in mathematical and real-world problems. Source Note: The provisions of this §111.42 adopted to be effective September 10, 2012, 37 TexReg 7109

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