Stitz-Zeager_College_Algebra_e-book

# Definition 102 the circular functions suppose is an

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online