Trigonometry

Board: IB Class: AA

Chapter Overview

Unit circle and radian measure. Trigonometric functions and their graphs. Trigonometric identities including Pythagorean, double angle, compound angle. Solving trigonometric equations with general solutions. Sine rule, cosine rule, area of triangle. Inverse trigonometric functions (HL).

Topics Covered

Radian Measure
Unit Circle
Trig Functions and Graphs
Trigonometric Identities
Compound Angle Formulas
Trigonometric Equations
Sine and Cosine Rules
Inverse Trig (HL)

Key Formulas

sin² A + cos² A = 1

sin(A+B) = sinA cosB + cosA sinB

cos(A+B) = cosA cosB - sinA sinB

a/sinA = b/sinB = c/sinC = 2R

c² = a² + b² - 2ab cosC

Area = (1/2)ab sinC

Real-World Applications

Applications: Navigation, astronomy, engineering, architecture, periodic phenomena.

Study Tips

Tip: Memorize the unit circle values

Tip: Practice deriving identities

Tip: Learn the general solution patterns