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
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
1. One
2. Two
3. Three
4. Four
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.