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Center for Curriculum and Transfer Articulation
Plane Trigonometry
Course: MAT182

First Term: 2019 Summer
Lecture   3.0 Credit(s)   3.0 Period(s)   3.0 Load  
Subject Type: Academic
Load Formula: S

Description: 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.

MCCCD Official Course Competencies
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 Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.
MCCCD Official Course Outline
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
MCCCD Governing Board Approval Date: 4/22/1997

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.