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Trigonometry Fall 2015 Test #1 Review: Section Key Skills 3.1 Identify the quadrant in which an angle or arc is located Find a complementary, supplementary, or coterminal angle or arc Express angles and arcs in both degree and radian measure Solve applied problems with angles and arcs --arc length, sector area, linear velocity, and angular velocity 3.3 Evaluate trigonometric functions using right triangles Evaluate trigonometric functions of common acute angles Solve right triangles using trigonometric functions and their inverses Solve applied right triangle problems 3.2 Evaluate trigonometric functions using angles in standard position Evaluate trigonometric functions of common angles in any quadrant 1.2-1.5 Evaluate trigonometric functions using arcs on the unit circle Evaluate trigonometric functions of common arcs in any quadrant Evaluate trigonometric functions using the basic identities --Pythagorean, quotient, reciprocal, negative, and cofunction Test #2 Review: Section Key Skills 2.1, 2.2 Graph the sine and cosine functions and their transformations Identify amplitude changes, vertical reflections, vertical shifts, period changes, and phase shifts for the sine and cosine functions 2.4 Graph the other trigonometric functions and their transformations Identify vertical stretches, vertical reflections, vertical shifts, period changes, and phase shifts for the other trigonometric functions 4.1 Simplify expressions and verify identities using the basic trigonometric identities along with algebraic techniques 4.2, 4.3 Evaluate trigonometric functions using the sum & difference formulas Evaluate trigonometric functions for arcs in the 12 family 4.4 Evaluate trigonometric functions using the double angle formulas 4.5 Evaluate trigonometric functions using the half-angle formulas Evaluate trigonometric functions for arcs in the 8 family Test #3 Review: Section Key Skills 2.5 Find common arcs given an inverse trigonometric value Evaluate expressions containing both trigonometric and inverse trigonometric functions 5.2, 5.3 Solve a variety of trigonometric equations using a combination of algebraic techniques and trigonometric knowledge 3.4 Solve SAA, ASA, and SSA triangles using the Law of Sines Solve application problems using the Law of Sines Find the area of a SAS triangle 3.5 Solve SAS and SSS triangles using the Law of Cosines Solve application problems using the Law of Cosines Find the area of a SSS triangle Test #4 Review: Section Key Skills 6.2 Express vectors in both standard and unit vector form Calculate quantities using vector arithmetic --sum, difference, constant multiple, linear combination Calculate the magnitude and direction angle of a vector Calculate the dot product of two vectors Calculate the angle between two vectors Calculate the component of one vector along another vector 6.3 Express coordinates in both polar and rectangular form Express equations in both polar and rectangular form Identify graphs of equations in both polar and rectangular form 6.4, 6.5 Express complex numbers in both trigonometric and standard form Evaluate products, quotients, powers, and roots of complex numbers written in trigonometric form 5.4 Express equations in both parametric and rectangular form Identify graphs of equations in both parametric and rectangular form