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?

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Sec of any number can never be less than 1

tan can take any value from -∞ to + ∞

cosec of any number can never be less than 1

cos of any number can never be greater than 1

so option 1,3,4 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?

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