Chapter 6 trigonometric functions of angles answers

https://mediaplayer.pearsoncmg.com/assets/GhWStWOCg40RgEiIeGdfdGKIDyODg3TL Find the exact values of the trig functions of quadrantal angles (10:00) Example 2*: Find the Exact Values of the Trigonometric Functions for Quadrantal Angles Complete the white portion of the following chart for the Quadrantal Angles:   radians degrees sin  cos tan  csc sec cot  0  2  3 2 2 30 45 60 https://mediaplayer.pearsoncmg.com/assets/iUGJJ_fcGYvt9ZjRti7_BmHU5iygMvOW Find the exact values of the trig functions of 45 degrees (9:35) https://mediaplayer.pearsoncmg.com/assets/sHB6s5OXhRNg27Fmb9tAbXrpZrz7eu52 Find the exact values of the trig functions of 30 and 60 degrees (13:12) Angles and Trigonometric Functions Chapter 6: Trigonometric Functions Section 6.1: Angles and Their Measure Trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. They are important in the modeling of periodic phenomena, among many other applications. We will begin by defining some vocabulary that we will use throughout this chapter. A __________ is that portion of a line that starts at a point V on the line and extends indefinitely in one direction. The starting point V of a ray is called its __________. If two rays are drawn with a common vertex, they form an _______________. One ray of an angle is called the _______________ side and the other the _______________ side. The angle formed is identified by showing the direction and amount of rotation from the initial side to the terminal side. If the rotation is in the _______________ direction, the angle is positive; if the rotation is _______________, the angle is negative. Notice that it is quite common to use Greek letters to denote angles. What are the names of these angles?  = _____________  = _____________  = _____________ An angle  (theta) is said to be in _______________________ if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis. When an angle  is in standard position, the terminal side will lie either in a quadrant, in which case we say that  lies in that quadrant or on the x-axis or the y-axis, in which case we say that  is a ____________________ angle. Copyright © 2016 Pearson Education, Inc. Sections 6.1, 6.2 & 6.3 Exploration 1: Drawing an Angle in Degrees on a Unit Circle Thus far in your mathematics career, you have probably measured angles in degrees. Three hundred sixty degrees (360°) represents one complete ___________________revolution around a circle. This 1 60 1 means that 1° is equivalent to of a complete revolution and 60° represent or of a complete 360 360 6 revolution. From this it follows then that a right angle is ________ (what fraction?) of a revolution counterclockwise and is _______°. A straight angle is ________ (what fraction?) a revolution counterclockwise and is ______° Example 1: Drawing an Angle Use the information from the exploration to approximate the location of each angle and identify which quadrant it is in. (a) 135° (b) -120° https://mediaplayer.pearsoncmg.com/assets/booCfkfw5Wwp8XTSiOibOlFyOb9NusQP Author in Action: Convert Between Decimals and DMS (10:32) This is a SG 2nd post.