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UNIT CIRCLE and Trigonometry Graphing
Terms in this set (78)
Give radians and ordered pair for 0º
Give radians and ordered pair for 30º
π/6 (√3/2, 1/2)
Give radians and ordered pair for 45º
π/4 (√2/2, √2/2)
Give radians and ordered pair for 60º
π/3 (1/2, √3/2)
Give radians and ordered pair for 90º
Give radians and ordered pair for 120º
2π/3 (-1/2, √3/2)
range of sin
Give radians and ordered pair for 135º
3π/4 (-√2/2, √2/2)
domain of cos
Give radians and ordered pair for 150º
4π/5 (-√3/2, 1/2)
domain of tan
All angles x except π/2 ± πn for all integers n
range of csc
Give radians and ordered pair for 180º
Give radians and ordered pair for 210º
7π/6 (-√3/2, -1/2)
Give radians and ordered pair for 225º
5π/4 (-√2/2, -√2/2)
Give radians and ordered pair for 240º
4π/3 (-1/2, -√3/2)
A function that repeats at regular intervals.
Give radians and ordered pair for 270º
3π/2 (0, -1)
The shortest repeating interval.
Give radians and ordered pair for 300º
5π/3 (1/2, -√3/2)
The horizontal length of one cycle.
Give radians and ordered pair for 315º
7π/4 (√2/2, -√2/2)
Sine and cosine are often referred to as ????.
Give radians and ordered pair for 330º
11π/6 (√3/2, -1/2)
Amplitude or vertical stretch factor
Half the difference between the maximum and minimum y-values of the graph of a sine or cosine function is called the ??? of the graph or wave.
Give radians and ordered pair for 360º
In a sinusoidal function, a horizontal translation is often called a ???
0° is ? radians
Period of Cos and Sin=
Sometimes the horizontal axis has units of time on it such as seconds, minutes, etc. With these types of problems, we are often interested in how many cycles completed during that unit of time, which is also known as the ???
30° is ? radians
45° is ? radians
graphing form of sine.
60° is ? radians
is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system.
90° is ? radians
Period of Tangent
120° is ? radians
??? does not have amplitude
135° is ? radians
The period for tangent is ?? and not the same as it was for the sine and cosine functions.
150° is ? radians
180° is ? radians
210° is ? radians
225° is ? radians
240° is ? radians
270° is ? radians
300° is ? radians
315° is ? radians
330° is ? radians
360° is ? radians
What are the signs of an ordered pair in QI
What are the signs of an ordered pair in QII
What are the signs of an ordered pair in QIII?
What are the signs of an ordered pair in QIV?
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