Question

Consider the following for real numbers α, β, γ and δ:

1. sec α = 1/5

2. tan β = 15

3. cosec γ = 1/3

4. cos δ = 4

How many of the above statements are not possible?
1. One
2. Two
3. Three
4. Four

Answer 1

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.