Unformatted text preview: standard position. 600 Foundations of Trigonometry 3. Since γ = 540◦ is positive, we rotate counterclockwise from the positive xaxis. One full
revolution accounts for 360◦ , with 180◦ , or 1 of a revolution remaining. Since the terminal
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side of γ lies on the negative xaxis, γ is a quadrantal angle. All angles coterminal with γ are
of the form θ = 540◦ + 360◦ · k , where k is an integer. Working through the arithmetic, we
ﬁnd three such angles: 180◦ , −180◦ and 900◦ .
4. The Greek letter φ is pronounced ‘fee’ or ‘ﬁe’ and since φ is negative, we begin our rotation
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clockwise from the positive xaxis. Two full revolutions account for 720◦ , with just 30◦ or 12
of a revolution to go. We ﬁnd that φ is a Quadrant IV angle. To ﬁnd coterminal angles, we
compute θ = −750◦ + 360◦ · k for a few integers k and obtain −390◦ , −30◦ and 330◦ .
y y 4
3 3 2 2 1 γ = 540◦ 4 1 −4 −3 −2 −1
−1 1 2 3 4 x −4 −3 −2 −1
−1 −2 −2 −3 2 3 4 x −3 −4 1 −4 γ = 540◦ in standard position. φ = −750◦ φ = −750◦ in s...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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