cos(x) = 1/2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Solve the following equations for x over the interval [0,2?), giving exact answers in radian units. You will have multiple solutions, but only choose x values in [0,2?).

a. cos(x) = 1/2

b. 3√2 cos(x) = 6 cos^2(x)

c. Can you obtain solutions to the equation sin^2 x + 7 sin x + 12 = 0? Use the substitution technique to help you solve this quadratic trigonometric equation and determine if it has any solutions x in [0,2?) or none. This expression is factorable, so you can use the zero product property to solve the equation.

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