Rewrite as 1/cos(θ) = 5/sin(θ)
cross multiply, tan(θ)=5, then solve...
3. 2cot(α)=1, 2/tan(α)=1, therefore tan(α) = 2
to find tan β, replace sec^2(β) by (1+tan^2(β)), solve... tan(β) = 5
5b.Rewrite cot(β) as 1/tan(β) and solve