(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 realworld problems, including
linear and angular velocity;
(E) determine the value of trigonometric ratios of
angles and solve problems involving trigonometric ratios in mathematical
and realworld problems;
(F) use trigonometry in mathematical and realworld
problems, including directional bearing;
(G) use the Law of Sines in mathematical and realworld
problems;
(H) use the Law of Cosines in mathematical and realworld
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 realworld 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 n^{th } term and the n^{th } partial sum of an arithmetic series
in mathematical and realworld problems;
(D) represent arithmetic series and geometric series
using sigma notation;
(E) calculate the n^{th } term of a geometric series, the n^{th } 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 realworld problems;
(I) generate and solve exponential equations in mathematical
and realworld problems;
(J) solve polynomial equations with real coefficients
by applying a variety of techniques in mathematical and realworld
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
realworld 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 realworld
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 realworld problems.
