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Nov 22, 2024
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MA 126 - Trigonometry4 lecture hours 0 lab hours 4 credits
Course Description
Topics include trigonometric functions, special angles, solution of triangles, radian measure, graphs, inverse trigonometric functions, solution of trigonometric equations, basic identities and the sum, difference, double angle and half angle formulas. An introduction to exponents and logarithms is included. (prereq: MA 125 or equivalent)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Define the six trigonometric functions
• Determine the smallest positive angle coterminal with a given angle
• Use a calculator to find the values of trigonometric functions and inverse trigonometric functions
• Determine the values of trigonometric functions of quadrantal and special angles
• Solve triangles
• Convert from degree measure to radian measure and vice versa
• Find the length of a circular arc and the area of a circular sector
• Graph sine and cosine functions
• Evaluate inverse trigonometric functions
• Prove trigonometric identities using fundamental relationships
• Prove trigonometric identities using sum, difference, double-angle, and half-angle formulas
• Solve trigonometric equations
• Use properties of logarithms
• Solve exponential equations by means of logarithms
Prerequisites by Topic
• Fundamental algebraic operations
• Equations and systems of equations
• Special products and factoring
• Operations with algebraic fractions
• Quadratic equations
Course Topics
• Trigonometric functions and right triangle applications (7 classes)
• Laws of sines and cosines (2 classes)
• The unit circle (1 class)
• Trigonometric functions and real numbers (2 classes)
• Addition and subtraction formulas (2 classes)
• Double and half angles formulas (2 classes)
• Trigonometric graphs (4 classes)
• Basic trigonometric identities (2 classes)
• Inverse trigonometric functions (2 classes)
• Trigonometric equations (2 classes)
• Exponential functions (2 classes)
• Logarithmic functions (2 classes)
• Laws of logarithms (1 class)
• Exponential and logarithmic equations (1 class)
• Applications of exponential and logarithmic equations (2 classes)
• Review and exams (6 classes)
Coordinator
Bruce O’Neill
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