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Trigonometry Ch 2
| Term | Definition |
|---|---|
| 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)? | 2π |
| 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
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