Use trigonometric identities to solve tan (2theta) + tan (theta) = 0 exactly for 0

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Question

Chemistry

Heidi Delgado

1 June, 00:42

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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Answers (1)

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Aleena Durham · Answer 1

Tan2 (∅) ≡ 2tan (∅) / (1 - tan²∅)

Thus,

2tan (∅) / (1 - tan² (∅)) + tan (∅) = 0

2tan (∅) / (1 - tan² (∅)) = - tan (∅)

1 - tan² (∅) = - 2

tan² (∅) = 3

∅ = tan⁻¹ (√3)

∅ = 4nπ/3

Use trigonometric identities to solve tan (2theta) + tan (theta) = 0 exactly for 0Basically u r finding all possible answers for the question

Use trigonometric identities to solve tan (2theta) + tan (theta) = 0 exactly for 0

Basically u r finding all possible answers for the question