If sin x = 4/5, then sec x/sin x =
We know that,
sinθ = side opposite to θ/Hypotenuse
secθ = Hypotenuse/side adjacent to θ
We know that,
3, 4 and 5 are Pythagorean triplets.
⇒ Adjacent side = 3
⇒ sec x = 5/3
sec x/sin x = (5/3)/(4/5) = 5/3 × 5/4 = 25/12
∴ sec x/sin x = 25/12