Question

Evaluate sec(sin^-1 √3/2)

Answer 1

2

Explanation:

sin(x) = √3/2 , x = π/3

cos(π/3) = 1/2

sec(α)= 1/cos(α)

sec(π/3) = 1/(cos(π/3) = 1/(1/2) =2

Answer 2

2

Explanation:

`\sec(sin^(-1) (√(3))/(2) )\\=\sec(\sin^(-1) \sin 60\degree )\\=\sec( 60\degree )\\= 2`