Stitz-Zeager_College_Algebra_e-book

Definition 102 the circular functions suppose is an

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Unformatted text preview: an angle with its initial side on the positive x-axis and rotate 60◦ counter-clockwise 360◦ = 1 of a revolution. We see that α is a Quadrant I angle. To find angles 6 which are coterminal, we look for angles θ of the form θ = α + 360◦ · k , for some integer k . When k = 1, we get θ = 60◦ +360◦ = 420◦ . Substituting k = −1 gives θ = 60◦ −360◦ = −300◦ . Finally, if we let k = 2, we get θ = 60◦ + 720◦ = 780◦ . ◦ 5 2. Since β = −225◦ is negative, we start at the positive x-axis and rotate clockwise 225◦ = 8 of 360 a revolution. We see that β is a Quadrant II angle. To find coterminal angles, we proceed as before and compute θ = −225◦ + 360◦ · k for integer values of k . We find 135◦ , −585◦ and 495◦ are all coterminal with −225◦ . y y 4 4 3 3 2 2 α = 60◦ 1 −4 −3 −2 −1 −1 1 2 3 4 −2 1 x −4 −3 −2 −1 −1 β = −225◦ 1 2 3 4 x −2 −3 −3 −4 −4 α = 60◦ in standard position. β = −225◦ in...
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