Trigonometry

This class meets twice a week for one hour each time. Tentative schedule: Tuesdays and Thursdays, 6:15 - 7:15 pm Pacific Standard Time. The class will not meet during the Thanksgiving break or between December 19, 2020 and January 3, 2021.

All sessions are recorded and available for playback and download immediately after class. 

• Degree and radian measure of angles
• 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)
• 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
• 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
• Applications of trigonometry to algebra and geometry
• 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 algebra 2 and geometry or be familiar with functions, inverse and composite functions, complex numbers, and basic geometry concepts and theorems. 

• 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.
• Space is limited, but a minimum number of participants is required to run the class. In the event the class is canceled due to low enrollment, your payment will be refunded in full within 24 hours. 

Please consider signing-up on or before Friday, August 21, 2020 to guarantee your spot in the class. This is one of my most popular classes, and fills up quickly.   

I accept personal checks or electronic payments through Paypal or Zelle.

You will be billed monthly; the tuition varies with the number of sessions held each month, and will average between $300 and $400 per month.