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Consider the following for real numbers α, β, γ and δ: 1. sec α = 1/4 2. tan β = 20 3. cosec γ = 1/2 4. cos δ = 2 How many of the above statements are not possible?

Consider the following for real numbers α, β, γ and δ: 1. sec α = 1/4 2. tan β = 20 3. cosec γ = 1/2 4. cos δ = 2 How many of the above statements are not possible? Correct Answer Three

1) sec α  Range is (- ∞, 1] ⋃

tanβ = 20 (possible)

3) cosec γ Range is R - (-1, 1)       

cosec γ = ½ (Not possible)

4) cos δ Range is

cos δ = 2 (Not possible)

So, 3 statements are not possible

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