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Stitz-Zeager_College_Algebra_e-book

# Y q1 y 1 tan 1 p x y o ax 0 b 1 0 x 636 foundations

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Unformatted text preview: standard position. 600 Foundations of Trigonometry 3. Since γ = 540◦ is positive, we rotate counter-clockwise from the positive x-axis. One full revolution accounts for 360◦ , with 180◦ , or 1 of a revolution remaining. Since the terminal 2 side of γ lies on the negative x-axis, 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 1 clockwise from the positive x-axis. 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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