The value of sin18o is given as $\frac{\sqrt{5}-1}{4}$. Find the value of cosec 18o.
Answer & explanation
Correct answer: option 4
sin18º = \(\frac{ √5 - 1}{4}\)
{ we know, sinθ = \(\frac{1}{cosecθ}\) }
cosec 18º = \(\frac{ 4}{√5 - 1}\)
= \(\frac{ 4}{√5 - 1}\) × \(\frac{ √5 + 1}{√5 + 1}\)
= √5 + 1