Need python / jupyter notebook installed.
Basic Concepts:
Angles: Measurement of angles in degrees and radians. Coterminal Angles: Angles that share the same terminal side. Reference Angles: The acute angle formed with the x-axis.
Trigonometric Functions: Sine (sin), Cosine (cos), and Tangent (tan): Definition using right triangles and the unit circle. Cosecant (csc), Secant (sec), and Cotangent (cot): These are the reciprocals of sin, cos, and tan, respectively.
Graphs of Trigonometric Functions: Understanding the basic shapes, periods, amplitudes, and phase shifts of sin, cos, and tan functions.
Trigonometric Identities: Reciprocal Identities: Relating sin, cos, and tan to their reciprocals. Pythagorean Identities: sin^2 (theta) + cos^2 (theta) = 1 Co-Function Identities: sin(90 deg - theta) = cos(theta) Double and Half-Angle Formulas: sin(2 theta) = 2sin(theta)cos(theta) Sum and Difference Formulas: sin(α+β)=sin(α)cos(β)+cos(α)sin(β).
Solving Trigonometric Equations: Techniques to solve for angles given trigonometric equations.
Inverse Trigonometric Functions: Understanding arcsin, arccos, and arctan and their properties.
Applications of Trigonometry: Law of Sines and Law of Cosines: Useful for solving triangles, especially when you don't have a right angle. Real-world applications such as navigation, architecture, physics, and engineering.
Trigonometric Form of Complex Numbers: Representing complex numbers in the form r(cos(θ)+isin(θ)).