A winch pulls a load along a slope where cot θ = 5/12. Find the value of cosec θ.
Show answer & explanation
Correct answer: B
Explanation
Given:
cot θ = 5/12
According to the formula:
cot θ = Base / Perpendicular
cosec θ = Hypotenuse / Perpendicular
cot θ = 5/12
Base = 5, Perpendicular = 12
Hypotenuse = √(5² + 12²)
= √(25 + 144)
= √169
= 13
cosec θ = Hypotenuse / Perpendicular = 13 / 12