Answer:
The Basic Identities are :
[tex]cosec(A) = \frac{1}{ \sin(A) } [/tex]
[tex] \tan(A) = \frac{ \sin(A) }{ \cos(A) } [/tex]
[tex] \cot(A) = \frac{1}{ \tan(A) } = \frac{ \cos(A) }{ \sin(A) } [/tex]
So for this question :
[tex] \cos(A)cosec(A) = \cot(A)[/tex]
[tex]l.s.h = \cos(A) \times \frac{1}{ \sin(A) } [/tex]
[tex]l.s.h = \frac{ \cos(A) }{ \sin(A) } [/tex]
[tex]l.sh = \cot(A) \: (proven)[/tex]
