Stitz-Zeager_College_Algebra_e-book

2 it is worth taking the time to memorize the tangent

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: that a positive measure indicates counter-clockwise rotation and a negative measure indicates clockwise rotation.14 Two positive angles α and β are supplementary if α + β = π and complementary if α + β = π . 2 Finally, we leave it to the reader to show that when using radian measure, two angles α and β are coterminal if and only if β = α + 2πk for some integer k . 13 14 The authors are well aware that we are now identifying radians with real numbers. We will justify this shortly. This, in turn, endows the subtended arcs with an orientation as well. We address this in short order. 602 Foundations of Trigonometry Example 10.1.3. Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal angles, at least one of which is positive and one of which is negative. 1. α = π 6 π 2. β = − 43 3. γ = 9π 4 π 4. φ = − 52 Solution. 1. The angle α = π is positive, so we draw an angle with its initial side on the positive x-axis and 6 1 rotate count...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online