Students review how changing the parameters A, ω, h, and k in f(x) = A sin(ω(x - h)) + k affects the graph of the sine function.
Students examine the example of the Ferris wheel, using height, distance from the ground, period, and so on, to write a function of the height of the passenger cars in terms of the sine function: f(x) = A sin(ω(x - h)) + k.

In this Khan Academy activity, students will construct sinusoidal functions given information about it.

This is an exploration activity for students to visually see the graph of trig functions and understand about sin and cos functions and understand the concept of amplitude.

This is an exploration activity for students to visually see the graph of trig functions and understand about sin and cos functions and understand the concept of amplitude.Section 2 of this activity allows students to explore the period and vertical shift in trig functions.

In this Khan Academy activity, students will model word problems with sinusoidal functions that have a phase shift.

Sample Learning Goals
Define trig functions for negative angles and angles greater than 90 degrees.
Translate between multiple representations of trig functions: as sides of a right triangle inscribed in a unit circle, graph of the function vs. angle, and numerical values of the function.
Deduce the sign (+, -, 0) of a trig function for any given angle without a calculator using the unit circle concept.
Estimate the value of trig functions for any given angle without a calculator using the unit circle concept.
Define exact trig functions for special angles using degrees or radians for angle measures.

CK-12 Foundation's Trigonometry FlexBook is an introduction to trigonometry for the high school student. It includes chapters on graphs of trigonometric functions, trigonometric identities, inverse trigonometric functions, triangles and vectors, and the polar system.

CK-12 Foundation's Trigonometry FlexBook is an introduction to trigonometry for the high school student. Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

CK-12's Texas Instruments Trigonometry Student Edition Flexbook is a helpful companion to a trigonometry course, providing students with more ways to understand basic trigonometric concepts through supplementary exercises and explanations.

CK-12's Texas Instruments Trigonometry Teacher's Edition Flexbook is a helpful companion to a trigonometry course, providing students with more ways to understand basic trigonometric concepts through supplementary exercises and explanations.

CK-12 Trigonometry Teacher's Edition provides tips and common errors for teaching CK-12 Trigonometry Student Edition. The solution and assessment guides are available upon request.