(a) |
Sketch, with or without technology, the graph of $y= \sin x$, $y= \cos x$, and $y= \tan x$. Sketch, with or without technology, the graph of |
(b) |
Determine and summarize the characteristics (amplitude, asymptotes, domain, period, range, and zeros) of the graphs of $y = \sin x$, $y = \cos x$, or $y = \tan x$. |
(c) |
Develop, generalize, and explain strategies for determining the transformational impact of changing the coefficients a, b, c, and d in $y=a \sin b(x-c)+d$ and $y=a \cos b(x-c) + d$ on the graph of $y = \sin x$ and $y = \cos x$ |
(d) |
Develop and apply strategies to sketch, without technology, graphs of the form $y=a \sin b(x-c)+d$ or $y=a \cos b(x-c) + d$. |
(e) |
Write equations for given graphs of sine or cosine functions. |
(f) |
Identify, with justification, a trigonometric function that models a situational question. |
(g) |
Explain how the characteristics of the graph of a trigonometric function relate to the conditions in a situational question. |
(h) |
Solve situational questions by analyzing the graph of trigonometric functions. |