question_answer

\[\Delta ABC\]is right angled at A. If AC = 8 cm and AB = 6 cm, what is the value of cosec B?

A)  \[\frac{5}{4}\]                                                  

B)  \[\frac{3}{4}\]  

C)  \[\frac{4}{3}\]                                  

D)         \[\frac{4}{5}\]

Correct Answer: A

Solution :

 In\[\frac{c}{d}=\frac{L.C.M.(a,c)}{H.C.F.(b,d)}\],by Pythagoras' theorem, \[\Rightarrow \] \[L.C.M.\]\[\frac{6}{14}and\frac{2}{7}\]