MAT 1340 - Trigonometry with Applications to Technology
3 credit hours
MAT 1340 is an introduction to problem solving with right-triangle trigonometry and review of geometrical concepts. It includes an emphasis on problem-oriented application of trigonometric functions and relationships. Intermediate algebra required. [Replaces MAT 134]
Prerequisite: Score of at least 53 on Accuplacer College-Level Mathematics (CP4) or score of at least 711 on Descriptive Test of Mathematics Skills (DTMS) placement score or a “C” or higher in MAT 1040 (formerly 104, 107 or 102). Student must have a graphing calculator.
Young. Trigonometry, 2nd Edition
BRV with WileyPLUS access ISBN-13: 9780470421680
Upon successful completion of the course, each student should be able to demonstrate the ability to use visual, numeric, algebraic reasoning and skills to interpret, solve, and verify solutions of geometric and trigonometric problems (of intermediate-level difficulty) which involve:
1. Distance: Midpoints, point to point, and point to a line.
2. Angles: Degree measure (decimal degrees, degree-minute-second, and radians), classifications (acute, right, obtuse, and straight), and relationships (vertical, complementary, supplementary, and linear pairs).
3. Polygons: Simple vs. non-simple, convex vs. concave, classification by sides (triangle, quadrilateral [including special quadrilaterals], pentagon, hexagon, and octagon). Basic properties of Regular polygons (number of sides, measure of vertex angles, and measure of central angles).
4. Triangles: Classifications by sides (scalene, isosceles, and equilateral) and by angles (acute, right, obtuse, and equiangular).
5. Circles: elements (center, radius, diameter, pi, chord, central angle, arc, sector and circumference) and determine the measure of those elements.
6. Basic units of Metric and English systems: find length and area of Triangles and basic quadrilaterals.
7. Magnification: Preservation of shape and similarity, scale factor, and ratio.
8. Trigonometric functions of an acute angle in a right triangle and an angle of the Cartesian plane (Sine, cosine, tangent, cotangent, secant, and cosecant, values of special angles [multiples of 30, 45, 60, and 90], degree and radian measure, reference angles, domain and range.
9. Graphs of sine and cosine: Amplitude, period, and translations.
10. Graphs of other trig functions: Range, period, and translations.
11. Fundamental trigonometric identities: Reciprocal, quotient, Pythagorean, and negative angle.
12. Inverse trigonometric functions: Properties and applications.
13. Polar Coordinates: conversion between rectangular and polar.
14. Applications and problem-solving with and without a calculator: Right triangles, oblique triangles, circles, and vectors.