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# Trigonometry Ch 2

TermDefinition
In the Cartesian coordinate system, x = ___. cos of the angle
In the Cartesian coordinate system, y = ___. sin of the angle
For y = A sin[B(x-C)]+D, x = ___. arc length
For y = A sin[B(x-C)]+D, A = ___. amplitude (|A|)
For y = A sin[B(x-C)]+D, B = ___. the denominator under 2π to determine the period
For y = A sin[B(x-C)]+D, C = ___. lateral translation (- goes right, + goes left)
For y = A sin[B(x-C)]+D, D = ___. vertical translation (+ goes up, - goes down)
Amplitude is ___. how high up and down from center the wave goes
Lateral translation is AKA ___. phase shift
One cycle is called the ___. period
What are the steps for graphing y = A sin[B(x-C)]+D? 1. Find the 5 key points of y = sin (x), 2. Find the key points for y = A sin[B(x-C)]+D by: a. dividing each x-coordinate by B and adding C, b. multiplying each y-coordinate by A and adding D
What is the standard form of y = 2 sin(3x + π) + 1? y = 2 sin[3(x + π/3)] + 1
y = sec(x) is undefined at every multiple of ___. π starting from the first asymptote (π/2)
y = sec(x) has a vertical asymptote at every ___ of y = cos(x). x-intercept
T or F? Every minimum of y = sec(x) is the same point as every maximum of y = cos(x). True
What is the period of y = sec(x)?
What is the range of y = sec(x)? (-∞,-1]U[1,∞)
What is the domain of y = sec(x)? All real numbers except those of the form π/2 +kπ.
y = csc(x) is undefined at every multiple of ___. π starting from the first asymptote
What is the domain of y = csc(x)? All real numbers except those of the form kπ.
What is the equation for the vertical asymptotes of y = sec(x)? x = π/2 +kπ.
What is the equation for the vertical asymptotes of y = csc(x)? x = kπ
What is the fundamental cycle of y = tan(x)? π
What is the domain of y = tan(x)? All real numbers except those of the form π/2 +kπ.
What is the range of y = tan(x)? (-∞,∞)
What is the fundamental cycle of y = cot(x)? π
What is the domain of y = cot(x)? All real numbers except those of the form kπ.
What is the range of y = cot(x)? (-∞,∞)
The frequency of a sine wave with period P is defined by the equation ___. F = 1/P
The period P of y = sin(Bx) and y = cos(Bx) for B>0 is given by the equation ___. P = 2π/B
What is the range of y = sin(x) and y = cos(x)? [-1,1]
Created by: drjolley