Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places whereappropriate.)sec2 0 - 2 = 0rad

Name: Find all solutions of the given equation. (Enter your answers as a co
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Description: Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places whereappropriate.)sec2 0 - 2 = 0rad

Given equation is, sec2θ-2=0 Solve this , sec2θ=2sec θ=2cos θ=12θ=cos-112θ=π4radiansθ=0.78 radians

Answered: sec2 0 – 2 = 0

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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Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where
appropriate.)
sec2 0 - 2 = 0
rad

Expert Solution

Step 1

Given equation is,

$s e c^{2} θ - 2 = 0$

Solve this ,

$s e c^{2} θ = 2 s e c θ = \sqrt{2} \cos θ = \frac{1}{\sqrt{2}} θ = \cos^{- 1} (\frac{1}{\sqrt{2}}) θ = \frac{π}{4} r a d i a n s θ = 0.78 r a d i a n s$

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