Trigonometry with Applications in Geometry

• 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.

• 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)

• 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. 

• 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.

 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. 

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