Q6
If each α, β, γ is a positive acute angle such that
sin(α + β + γ) = , cosec(β + γ - α) = and tan(γ + α - β) =
What are the values of α, β, γ?
Answer: A
We evaluate options:
Option (1) Let α = 37.5, β = 52.5, γ = 45.
∴ α + β – γ = 45
∴ sin (α + β – γ) =
β + γ – α = 60
cosec(β + γ – α) =
γ + α – β = 30
tan(γ + α – β) =
Hence, option (a).