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0 vote

If sin x = 4/5, then sec x/sin x = 

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If sin x = 4/5, then sec x/sin x = 


1). 23/12
2). 25/4
3). 4/5
4). 25/12


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1 answers

2 vote
Answered by on | Votes 2 |

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

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