There are at least three different ways to solve the equation (csc (20) – 1)' = 9 using different - combinations of the strategies in this unit. o Find at least two of those paths and solve for 0 E [0, 27). Let v = 20 in both paths. What interval is v in to get 0 E [0, 2x)? · One path should include a Pythagorean identity but no factoring. · Another path should include factoring (another substitution may help here) but not a Pythagorean identity.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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There are at least three different ways to solve the equation \((\text{csc}^2(2\theta) - 1)^2 = 9\) using different combinations of the strategies in this unit.

- Find at least two of those paths and solve for \(\theta \in [0, 2\pi)\). Let \(v = 2\theta\) in both paths. What interval is \(v\) in to get \(\theta \in [0, 2\pi)\)?
  - One path should include a Pythagorean identity but no factoring.
  - Another path should include factoring (another substitution may help here) but not a Pythagorean identity.
Transcribed Image Text:There are at least three different ways to solve the equation \((\text{csc}^2(2\theta) - 1)^2 = 9\) using different combinations of the strategies in this unit. - Find at least two of those paths and solve for \(\theta \in [0, 2\pi)\). Let \(v = 2\theta\) in both paths. What interval is \(v\) in to get \(\theta \in [0, 2\pi)\)? - One path should include a Pythagorean identity but no factoring. - Another path should include factoring (another substitution may help here) but not a Pythagorean identity.
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