Consider sec(-5-7x) = 23³. We wish to determine all solutions for this problem. First solve the equation for x without evaluating the inverse trigonometric function. What is the period of secant? 2π List all values of in the interval [-, π) such that sec (0) = 2√3. (Notice the relationship between the period and the interval here.) (List all values in this answer box separated by a comma. Depending on the trig function and value, it is possible that there will only E entry.) Now list ALL values of such that sec(0) = 2√3 2kπ+,2kwhere k € Z. 6 (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separate- comma. Remember to use [k] as appropriate..) Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0= -5-7x, find all solutions for= 0 where k € Z (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separate comma. Remember to use k as appropriate.) x =
Consider sec(-5-7x) = 23³. We wish to determine all solutions for this problem. First solve the equation for x without evaluating the inverse trigonometric function. What is the period of secant? 2π List all values of in the interval [-, π) such that sec (0) = 2√3. (Notice the relationship between the period and the interval here.) (List all values in this answer box separated by a comma. Depending on the trig function and value, it is possible that there will only E entry.) Now list ALL values of such that sec(0) = 2√3 2kπ+,2kwhere k € Z. 6 (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separate- comma. Remember to use [k] as appropriate..) Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0= -5-7x, find all solutions for= 0 where k € Z (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separate comma. Remember to use k as appropriate.) x =
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 1E: Because the trigonometry functions are periodic, if a basic trigonometric equation has one solution,...
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