Consider the following for real numbers α, β, γ and δ:1. sec α =

1.	Consider the following for real numbers α, β, γ and δ:1. sec α = 1/52. tan β = 153. cosec γ = 1/34. cos δ = 4How many of the above statements are not possible?1. One2. Two3. Three4. Four
Answer» Correct Answer - Option 3 : Three 1) sec ∝ Range is [- ∞, 1] ⋃ [1, ∞] sec ∝ = 1/5 (Not possible) 2) tanβ range is [-∞, ∞] tanβ = 15 (possible) 3) cosec γ Range is [-∞, 1] ⋃ [1, ∞] cosec γ = 1/3 (Not possible) 4) cos δ Range is [-1, 1] cos δ = 4 (Not possible) So, 3 statements are not possible.

Consider the following for real numbers α, β, γ and δ:1. sec α = 1/52. tan β = 153. cosec γ = 1/34. cos δ = 4How many of the above statements are not possible?1. One2. Two3. Three4. Four

Answer» Correct Answer - Option 3 : Three

1) sec ∝ Range is [- ∞, 1] ⋃ [1, ∞]

sec ∝ = 1/5 (Not possible)

2) tanβ range is [-∞, ∞]

tanβ = 15 (possible)

3) cosec γ Range is [-∞, 1] ⋃ [1, ∞]

cosec γ = 1/3 (Not possible)

4) cos δ Range is [-1, 1]

cos δ = 4 (Not possible)

So, 3 statements are not possible.