Question

(1) Cos AcosecA=cot A​

Answer 1

Answer:

The Basic Identities are :

$cosec(A) = \frac{1}{ \sin(A) }$

$\tan(A) = \frac{ \sin(A) }{ \cos(A) }$

$\cot(A) = \frac{1}{ \tan(A) } = \frac{ \cos(A) }{ \sin(A) }$

So for this question :

$\cos(A)cosec(A) = \cot(A)$

$l.s.h = \cos(A) \times \frac{1}{ \sin(A) }$

$l.s.h = \frac{ \cos(A) }{ \sin(A) }$

$l.sh = \cot(A) \: (proven)$