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.

Go to Competencies    Go to Outline

MCCCD Official Course Competencies:


MAT182  1997 Fall – 2000 Summer II

Plane Trigonometry



Identify a trigonometric function. (I)


Use the definitions and properties of trigonometric functions to solve problems. (I)


Find the length of an arc. (II)


Determine the area of a sector. (II)


Find linear and angular velocity. (II)


Determine the graph and period of a trigonometric function. (III)


Evaluate inverse trigonometric functions. (IV)


Verify trigonometric identities. (V)


Solve trigonometric equations. (VI)


Use trigonometric formulas to solve application problems. (VII)


Find nth roots of complex numbers. (VIII)

Go to Description    Go to top of Competencies

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


Go to Description    Go to top of Competencies    Go to top of Outline