Plane Trigonometry

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Class
MATH 1316
This course is an in-depth study and applications of trigonometry including the study of trigonometric functions, solutions of triangles, trigonometric identities and equations, inverse trigonometric functions, and vectors. Emphasis is placed on acquiring and evaluating information based on the trigonometric functions. Exercises are designed to allow students to demonstrate their reasoning ability to solve problems using trigonometry.

Competencies

  1. To demonstrate competency in computing the values of trigonometric functions for key angles in all quadrants of the unit circle measured in degrees, a student should be able to:
    1. Determine the complement and the supplement of an angle.
    2. Use interval and function notation.
    3. Determine the domain and range of functions.
    4. Distinguish types of angles and angle pairs and use their properties to find angle measures.
    5. Perform calculations with angles.
    6. Convert angle measure to decimal degrees and vice versa.
    7. Sketch angles in standard position and determine co-terminal angles.
    8. Classify types of triangles and find the angle measures.
    9. Use the properties of similar triangles to find lengths of sides.
    10. Use the definitions of the trigonometric functions to find trigonometric values of angles in standard position.
    11. Determine trigonometric function values of quadrantal angles.
    12. Use reciprocal and Pythagorean identities to find function values.
  2. To demonstrate competency in computing the values of trigonometry using Right Triangles, a student should be able to:
    1. Find values of trigonometric functions given lengths of three sides of a right triangle.
    2. Solve trigonometric equations using co-function identities.
    3. Compare function values of acute angles.
    4. Compute exact function values for 30, 45, and 60 degree angles and their multiples.
    5. Use a calculator to find approximate trigonometric function values.
    6. Solve right triangles given any two measures.
    7. Use trigonometric functions to solve grade resistance application problems.
    8. Use trigonometric functions to solve application problems including bearing and angles of elevation and depression problems.
  3. To demonstrate competency in Computing the values of trigonometric functions for key angles in all quadrants of the unit circle measured in radians, a student should be able to:
    1. Convert degrees to radians and vice versa.
    2. Find a function value of an angle in radian measure.
    3. Find an arc length and central angle measure and solve application problems using the arc length formula.
    4. Find the area of a sector of a circle.
    5. Find approximate circular function values.
    6. Find a number with a given circular function value.
    7. Use linear and angular velocity formulas to find missing variables and applications.
  4. To demonstrate competency in Graphing trigonometric functions and their transformations, a student should be able to:
    1. Identify graphs of trigonometric functions.
    2. Graph sine and cosine functions using amplitude and period.
    3. Identify amplitude, period, vertical translations, and phase shifts.
    4. Graph sine and cosine functions using translations and phase shifts.
    5. Graph tangent and cotangent functions.
  5. To demonstrate competency in Proving trigonometric identities, a student should be able to:
    1. Find all trigonometric function values, given one value and the quadrant.
    2. Write expressions in terms of sine and cosine.
    3. Simplify and verify trig expressions using fundamental identities.
    4. Use the sum and difference identities to find exact values.
    5. Verify identities using sum and difference identities.
    6. Verify identities using double and half-angle identities.
  6. To demonstrate competency in Solve trigonometric equations, a student should be able to:
    1. Find inverse trigonometric values.
    2. Solve trigonometric equations.
    3. Solve equations involving inverse trigonometric functions.
  7. To demonstrate competency in Using the concepts of trigonometry to solve applications, a student should be able to:
    1. Solve oblique triangles using law of sines.
    2. Solve oblique triangles using law of cosines.
    3. Find the area of a triangle using K = 1/2absinC and Heron's formula.
    4. Use law of sines and law of cosines to solve application problems.

Campus Resources for Students

Weatherford:
Academic Support Center- a free public tutoring service provided by the college, offered in LART- LL Room 2, 817-598-6278

Video tapes

Computer assisted instruction

Instructor’s office hours

Course Learning Objectives

Upon successful completion of this course, students will:

  1. Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in degrees
  2. Compute the values of trigonometry using Right Triangles
  3. Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in radians.
  4. Graph trigonometric functions and their transformations.
  5. Prove trigonometric identities
  6. Solve trigonometric equations.
  7. Use the concepts of trigonometry to solve applications
Student Learning Outcomes

Upon successful completion of this course, students will:

  1. Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
  2. Graph trigonometric functions and their transformations.
  3. Prove trigonometric identities.
  4. Solve trigonometric equations.
  5. Solve right and oblique triangles.
  6. Use the concepts of trigonometry to solve applications.
Lab Fee
$24
Required Textbooks
Trigonometry 11th Ed., Lial, Hornsby, Schneider, and Daniels, Pearson-Addison-Wesley, 2017. MyLabsPlus access code.

Required Supplies

Calculator is required. Purchase of MyLabsPlus access code is required. See instructor for information.
ISBN-10
978-0-13-421743-7
Evaluation Standards

These course learning outcomes and course competencies will be assessed through the administration of a minimum of 3 in-class exams (65%), quizzes and/or homework (including MyLabsPlus) (15%), and a comprehensive, departmental final exam (20%)

Only departmental formula sheets supplied by the instructor will be used on the exams and the final exam.

Notes, textbooks, note cards, formula sheets, or any other additional materials will NOT be approve for use on exams. Any use will be an academic integrity violation.

Grading Standards

A - Student’s work is exceptional and consistently above average.
B - Student’s work is above average. Required assignments were completed in a timely manner and have met at least the minimum required standards.
C - Student’s work is acceptable. Majority of assignments meet the minimum required standards.
D - Student’s work fails to meet the minimum requirements for a grade of "C." Overall performance was sub-standard in comparison to normal expectations for this class.
F - Student’s work is clearly unacceptable. Student either did not attempt the work or failed to meet any of the minimum required standards.

To enroll in the next higher mathematics course that has a prerequisite, a student must earn a grade of C or better. A student could take the Compass test to also indicate competency for placement in a higher mathematics course.

Required Institutional Core Learning Outcomes

Communication (COM), Critical Thinking (CT), Empirical & Quantitative Reasoning (EQR)

Disabilities

ADA Statement:

Any student with a documented disability (e.g. learning, psychiatric, vision, hearing, etc.) may contact the Office on the Weatherford College Weatherford Campus to request reasonable accommodations. Phone: 817-598-6350 Office Location: Office Number 118 in the Student Services Building, upper floor. Physical Address: Weatherford College 225 College Park Drive Weatherford, TX.

Academic Integrity
Academic Integrity is fundamental to the educational mission of Weatherford College, and the College expects its students to maintain high standards of personal and scholarly conduct. Academic dishonesty of any kind will not be tolerated. Academic dishonesty includes, but is not limited to, cheating on an examination or other academic work, plagiarism, collusion, and the abuse of resource materials including unauthorized use of Generative AI. Departments may adopt discipline specific guidelines on Generative AI usage approved by the instructional dean. Any student who is demonstrated to have engaged in any of these activities will be subject to immediate disciplinary action in accordance with institutional procedures.
Hope Statement
Any student who faces challenges securing basic resources such as food, clothing, or housing and believes this may affect their performance in their course of study is urged to contact the Director of Student Resources, Dr. Deborah Cregger, for support at (817) 598-6444. Her office is on the first floor of Student Services. If the student prefers, they may contact their instructor, who can reach out on their behalf. Weatherford College also provides the Coyote Pantry. The Pantry maintains boxed and canned foods for students in need. The location of the Coyote Pantry is two blocks west of the Weatherford campus at the Baptist Student Ministry (118 E. Park Ave., Weatherford). Pantry hours are Mon-Thurs. 8:30 am-4:30 pm and Fri. 8.30 am-12:00 pm (817-599-6586).
Grading Key

90-100 = A
80-89 = B
70-79 = C
60-69 = D
59 and below = F

Revised
Fall 2021
Last Modified
Friday, September 10, 2021, 3:22 PM