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    • Home
    • 2024-2025 Classes
      • Plane Geometry
      • Trigonometry
      • Number Theory
      • Beginning AMC 10
      • Topics in Algebra 1
      • AMC 8/Mathcounts
      • AIME
      • Modular Arithmetic
      • Calculus BC
      • High School Math Festival
    • Class Descriptions
      • Current/Upcoming Courses
    • About Me
      • LinkedIn Profile
    • Learning Pods/1-1 Classes
    • Problem Column
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Sega Math Academy
  • Home
  • 2024-2025 Classes
    • Plane Geometry
    • Trigonometry
    • Number Theory
    • Beginning AMC 10
    • Topics in Algebra 1
    • AMC 8/Mathcounts
    • AIME
    • Modular Arithmetic
    • Calculus BC
    • High School Math Festival
  • Class Descriptions
    • Current/Upcoming Courses
  • About Me
    • LinkedIn Profile
  • Learning Pods/1-1 Classes
  • Problem Column
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Trigonometry with Applications in Geometry

WHEN: January 18, 2025 - December 13, 2025

  • 9:30 - 10:30 am Pacific Standard Time (PST)
  • Every Saturday and Sunday, except major holidays
  • All sessions are recorded and available for playback immediately after class.

TOPICS (not all may be covered)

  • Units for measuring angles (degrees and radians)
  • The definition of the six trigonometric functions of an angle; reference angles; the unit circle and fundamental trig identities
  • Periodicity and the even/odd identities
  • Analytic trigonometry (the addition/subtraction formulas, the double, triple, and half-angle formulas, product-to-sum and sum-to-product formulas)
  • Inverse trigonometric functions
  • Graphs of trigonometric functions and inverse trigonometric functions
  • Trigonometric equations and inequalities
  • Applications to geometry: the Law of Sines, the Law of Cosines, solving triangles, formulas for the area of a triangle, inradii, circumradii, exradii, etc
  • Polar coordinates and polar graphs, polar equations of conics
  • Applications of trigonometry to algebra: the trigonometric form and the exponential form of a complex number; De Moivre's Formula and Euler's Theorem; roots of unity, primitive roots and cyclotomic polynomials
  • Looking ahead: trigonometry and its use in calculus; series expansions of trig functions (if time permits)

TEXTBOOKS AND PREREQUISITES

  • Instructor's notes (no textbooks required)
  • Prerequisites: Students signing-up for this class must have completed at least algebra 1 and geometry or be familiar with functions, inverse and composite functions, complex numbers, and geometry fundamentals. 

IMPORTANT

  • This class is a prerequisite for Calculus, but goes well beyond the basics. It is an ideal class for students looking to participate in upcoming AMC 10/12 exams or other high school math competitions and tournaments. Yet, anyone in grades 7-12 interested in some fun and exciting math is welcome (must satisfy the prerequisites though). 
  • The course fully covers the trigonometry concepts and topics involved in the AP Calculus AB/BC exams.
  • Homework will be given regularly. Answers to all homework problems will be provided.

DEADLINE TO SIGN-UP: Wednesday, January 15, 2025

 Please complete the sign-up form below and pay the tuition by January 15, 2025. Note that your spot in the class will only be confirmed upon receipt of your payment. 

SIGN-UP

TUITION: $6000

 I accept Paypal or Zelle payments. For those choosing to pay monthly, the $500 payment is due at the beginning of each month. 


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