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Official Course Description:
MCCCD Approval: 4-22-1997 |
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MAT182 1997 Fall – 2000 Summer II |
LEC 3.0 Credit(s) 3.0 Period(s) 3.0 Load Acad |
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Plane
Trigonometry |
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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. |
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Go to Competencies Go to Outline
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MCCCD
Official Course Competencies: |
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MAT182 1997
Fall – 2000 Summer II |
Plane Trigonometry |
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1.
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Identify a trigonometric function. (I) |
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2.
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Use the definitions and properties of trigonometric functions
to solve problems. (I) |
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3.
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Find the length of an arc. (II) |
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4.
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Determine the area of a sector. (II) |
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5.
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Find linear and angular velocity. (II) |
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6.
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Determine the graph and period of a trigonometric
function. (III) |
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7.
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Evaluate inverse trigonometric functions. (IV) |
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8.
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Verify trigonometric identities. (V) |
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9.
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Solve trigonometric equations. (VI) |
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10.
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Use trigonometric formulas to solve application problems.
(VII) |
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11.
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Find nth roots of complex numbers. (VIII) |
Go to Description Go to top of
Competencies
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MCCCD
Official Course Outline: |
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MAT182 1997
Fall – 2000 Summer II |
Plane Trigonometry |
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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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