Solve each equation for u if 0° <= u < 360°. If rounding is necessary, round to the nearesttenth of a degree       10 cos2 u + cos u -3 = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
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Solve each equation for u if 0° <= u < 360°. If rounding is necessary, round to the nearesttenth of a degree

 

 

  10 cos2 u + cos u -3 = 0

Expert Solution
Step 1

Solution:

Consider the given 

10 cos2u + cos u -3 = 0

Let cos u = t then we have

10 t2 + t -3 = 010t2 + 6t -5t -3 = 02t(5t+3) -1(5t+3) = 0(5t+3) (2t-1) = 0If 2t-1 = 0 t = 12Therefore cos u = 12 = cos π3  u = π3

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