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Nov 25, 2024
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MATH 1405 - Pre-Calculus Trigonometry
This course provides an introduction to the basic trigonometric functions and applications of these functions in the solution of equations, right triangles, oblique triangles, vectors, complex numbers, conics, and graphs.
Credits: 3
Instructional Method Lecture
General Education Requirement: Basic Math
Comments: This course may be used for the quantitative reasoning requirement at UW.
Prerequisites:
MATH 1400 Pre-Calculus Algebra with a “C” or better OR Math Level V Placement
Minimum Student Competencies
Upon completion of MATH 1405 Trigonometry , the student will:
- Solve word problems involving circles and rotational motion.
- Solve right triangle problems applying trigonometric principles.
- Synthesize the best model for periodic behavior that includes shifts, reflections, or non-rigid transformations of algebraic or trigonometric graphs.
- Prove trigonometric identities are true using reciprocal, Pythagorean, quotient, double angle, co-function, sum/difference, power-reducing, sum-to-product, product-to-sum, and half-angle identities.
- Solve trigonometric equations.
- Solve for missing information on oblique triangles using the law of sines and law of cosines.
- Solve problems applying vector mechanics.
- Write the trigonometric form of a complex number.
- Solve problems by graphing appropriate conic, polar, or parametric models.
- Synthesize concepts related to the four basic conics: circles, ellipses, parabolas, and hyperbolas by graphing, writing, and identifying equations.
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