Trigonometry Ch 2
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| In the Cartesian coordinate system, x = ___. | cos of the angle
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| In the Cartesian coordinate system, y = ___. | sin of the angle
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| For y = A sin[B(x-C)]+D, x = ___. | arc length
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| For y = A sin[B(x-C)]+D, A = ___. | amplitude (|A|)
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| For y = A sin[B(x-C)]+D, B = ___. | the denominator under 2π to determine the period
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| For y = A sin[B(x-C)]+D, C = ___. | lateral translation (- goes right, + goes left)
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| For y = A sin[B(x-C)]+D, D = ___. | vertical translation (+ goes up, - goes down)
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| Amplitude is ___. | how high up and down from center the wave goes
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| Lateral translation is AKA ___. | phase shift
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| One cycle is called the ___. | period
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| 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
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| What is the standard form of y = 2 sin(3x + π) + 1? | y = 2 sin[3(x + π/3)] + 1
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| y = sec(x) is undefined at every multiple of ___. | π starting from the first asymptote (π/2)
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| y = sec(x) has a vertical asymptote at every ___ of y = cos(x). | x-intercept
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| T or F? Every minimum of y = sec(x) is the same point as every maximum of y = cos(x). | True
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| What is the period of y = sec(x)? | 2π
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| What is the range of y = sec(x)? | (-∞,-1]U[1,∞)
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| What is the domain of y = sec(x)? | All real numbers except those of the form π/2 +kπ.
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| y = csc(x) is undefined at every multiple of ___. | π starting from the first asymptote
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| What is the domain of y = csc(x)? | All real numbers except those of the form kπ.
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| What is the equation for the vertical asymptotes of y = sec(x)? | x = π/2 +kπ.
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| What is the equation for the vertical asymptotes of y = csc(x)? | x = kπ
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| What is the fundamental cycle of y = tan(x)? | π
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| What is the domain of y = tan(x)? | All real numbers except those of the form π/2 +kπ.
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| What is the range of y = tan(x)? | (-∞,∞)
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| What is the fundamental cycle of y = cot(x)? | π
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| What is the domain of y = cot(x)? | All real numbers except those of the form kπ.
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| What is the range of y = cot(x)? | (-∞,∞)
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| The frequency of a sine wave with period P is defined by the equation ___. | F = 1/P
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| The period P of y = sin(Bx) and y = cos(Bx) for B>0 is given by the equation ___. | P = 2π/B
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| What is the range of y = sin(x) and y = cos(x)? | [-1,1]
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
drjolley
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