Question

If cos A = 5/13 , calculate cosec A​

Answer 1

cosecA = 13/12

Step-by-step explanation:

cosA = 5/13

now,

$\sin^{2}A + \cos^{2}A = 1$

$\sin^{2}A+( \frac{5}{13})^{2} = 1$

sin^2A= 1 - 25/169

sin^2A = 169-25/169

$\sin \: A = \sqrt{ \frac{144}{169} } = \frac{12}{13}$

Then,

cosecA = 1/sinA

cosecA = 13/12