ManrushaVanessicam ManrushaVanessicam
  • 24-11-2016
  • Chemistry
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Use trigonometric identities to solve tan(2theta)+tan(theta)=0 exactly for 0
Basically u r finding all possible answers for the question

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scme1702
scme1702 scme1702
  • 27-11-2016
tan2(∅) ≡ 2tan(∅) / (1 - tan²∅)

Thus,
2tan(∅) / (1 - tan²(∅)) + tan(∅) = 0
2tan(∅) / (1 - tan²(∅)) = -tan(∅)
1 - tan²(∅) = -2
tan²(∅) = 3
∅ = tan⁻¹(√3)
∅ = 4nπ/3
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