Maricopa Community Colleges  MAT182   19976-99999
 Official Course Description: MCCCD Approval:  4-22-1997 MAT182  1997 Fall – 2000 Summer II LEC  3.0 Credit(s)  3.0 Period(s)  3.0 Load  Acad Plane Trigonometry A study of measures of angles, properties of graphs of trigonometric functions, fundamental identities, addition and half-angle formulas, inverse trigonometric functions, solutions of trigonometric equations, complex numbers and properties of triangle solution. May receive credit for only one of the following: MAT182 or MAT187. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or equivalent, or concurrent registration in MAT150, or MAT151, MAT152, or satisfactory score on District placement exam.
 MCCCD Official Course Competencies: MAT182  1997 Fall – 2000 Summer II Plane Trigonometry

 1. Identify a trigonometric function. (I) 2. Use the definitions and properties of trigonometric functions to solve problems. (I) 3. Find the length of an arc. (II) 4. Determine the area of a sector. (II) 5. Find linear and angular velocity. (II) 6. Determine the graph and period of a trigonometric function. (III) 7. Evaluate inverse trigonometric functions. (IV) 8. Verify trigonometric identities. (V) 9. Solve trigonometric equations. (VI) 10. Use trigonometric formulas to solve application problems. (VII) 11. Find nth roots of complex numbers. (VIII)

 MCCCD Official Course Outline: MAT182  1997 Fall – 2000 Summer II Plane Trigonometry I. Definition and properties of trigonometric functions A. Trigonometric functions of acute angles B. Solving right triangles II. Circular functions A. Radian measure B. Length of an arc C. Area of a sector D. Linear and angular velocity III. Graphs of trigonometric functions A. Phase shift B. Addition of ordinates IV. Inverse trigonometric functions V. Trigonometric identities A. Fundamental identities B. Verifying trigonometric identities C. Sum and difference identities for cosine D. Double-angle identities E. Half-angle identities VI. Conditional equations VII. Trigonometric formulas A. Law of sines B. Law of cosines VIII. Complex numbers A. Trigonometric form of complex numbers B. De Moivre's theorem C. Roots of complex numbers

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