please answer this it's very urgent but no spam is allowed
Attachments:
Answers
Answered by
2
Answer:
(c)
Step-by-step explanation:
Given,
α + β = π/2 and β + γ = α
Thus, γ = α – β
Taking “tan” on both sides,
tan γ = tan(α – β)
= (tan α – tan β)/ (1 + tan α tan β)
= (tan α – tan β)/ [1 + tan α tan(π/2 – α)]
= (tan α – tan β)/ [1 + tan α cot α]
tan γ = (tan α – tan β)/ (1 + 1)
2 tan γ = tan α – tan β
Therefore, tan α = tan β + 2 tan γ
Similar questions