University:
University of Vermont
Course:
MATH 1034 | Pre-Calculus Mathematics
Academic year:

2024
Views:

356

Pages:

2
Author:

Giruzzir6l

PAL Worksheet 20 1. Which of the following give measures of coterminal angles? 7π 20π 35π a. b. − c. − 13 13 13 d. 6π 13 g. − 30π 13 e. 22π 13 f. − 19π 13 h. 32π 13 i. − 9π 13 2. Suppose that 0 ≤ α ≤ π. a. Find an expression for an angle between 2π and 3π that is coterminal with α. b. Find an expression for an angle between −π and −2π that is coterminal with α. c. Find an expression for an angle between 4π and 5π that is coterminal with α. 3. Suppose that −π ≤ β ≤ 0, a. Find an expression for an angle between 3π and 4π that is coterminal with β. b. Find an expression for an angle between −2π and −3π that is coterminal with β. c. Find an expression for an angle between 5π and 6π that is coterminal with β. 4. Find an angle between 0 and 2π whose terminal side intersects the unit circle at: ! ! √ ! √ √ ! √ 1 3 3 1 3 1 1 3 b. − c. d. ,− , , a. − , 2 2 2 2 2 2 2 2 √ e. 3 1 − , 2 2 ! √ i. √ ! 2 2 ,− 2 2 f. √ ! 1 3 − ,− 2 2 √ j. √ ! 2 2 − ,− 2 2 g. √ ! 1 3 ,− 2 2 h. √ k. √ ! 2 2 , 2 2 √ 3 1 ,− 2 2 √ l. ! √ ! 2 2 − , 2 2 5. Find the exact value of each of the following without the aid of a calculator. a. cos 17π 4 b. sin − 19π 4 c. tan 29 3 π 6. Find all the values of x which solve each equation: √ 2 a. cos x = 2 √ 3 b. sin x = − 2 c. sin x = 0 d. tan x = −1