Consider 2(sin(x))2-√2 sin(x) = 2 sin(x) = √2. Bring all the terms to the left side to make an equation in quadratic form equals zero. Factor it to get two simple trigonometric equations. Solve each equation without evaluating the inverse function = We now determine all solutions for this problem. What is the period of sine? List all values of x in the interval [-, π) that satisfy either of your simple trigonometric equations. (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 be one entry.) Now list ALL values of a such that 2(sin(x))2 -√2 sin(x) = 2 sin(x) -√2 There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated by a comma. Remember to use k as appropriate..)
Consider 2(sin(x))2-√2 sin(x) = 2 sin(x) = √2. Bring all the terms to the left side to make an equation in quadratic form equals zero. Factor it to get two simple trigonometric equations. Solve each equation without evaluating the inverse function = We now determine all solutions for this problem. What is the period of sine? List all values of x in the interval [-, π) that satisfy either of your simple trigonometric equations. (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 be one entry.) Now list ALL values of a such that 2(sin(x))2 -√2 sin(x) = 2 sin(x) -√2 There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated by a comma. Remember to use k as appropriate..)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
6.3 (5)
Transcribed Image Text:Consider 2(sin(x))² -√2 sin(x) = 2 sin(x) - √2.
Bring all the terms to the left side to make an equation in quadratic form equals zero.
Factor it to get two simple trigonometric equations.
Solve each equation without evaluating the inverse function a
We now determine all solutions for this problem.
What is the period of sine?
List all values of x in the interval [-, π) that satisfy either of your simple trigonometric equations.
(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 be
one entry.)
Now list ALL values of a such that 2(sin(x))²-√2 sin(x) = 2 sin(x) -√2
(There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated
by a comma. Remember to use k as appropriate..)
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