Maricopa Community Colleges  MAT182   19966-19975 
Official Course Description: MCCCD Approval: 06/27/95
MAT182 19966-19975 LEC 3 Credit(s) 3 Period(s)
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. 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.
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MCCCD Official Course Competencies:
MAT182   19966-19975 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 compex numbers. (VIII)
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MCCCD Official Course Outline:
MAT182   19966-19975 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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