Question

If cotA 5/12,than find the value of cosec A​

Answer 1

Answer:

if cot A = 5/12 = adj/opp

hyp² = 5² +12²

= 169

hyp = 13

cosec A = hyp/opp

= 13/12

Answer 2

Answer:

Given:

• CotA = 5/12

Find:

• Value of cosecA

Solution:

${ \sf{CotA = \frac{5}{12} = \frac{adjacent}{opposite} }}$

• CosecA = Hypotenuse/opposite

• Let's find hypotenuse by Pythagoras theorm

${ \sf{ {Hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} }} \\ \\ { \sf{ {Hyp}^{2} = {12}^{2} + {5}^{2} }} \\ \\ { \sf{ {Hyp}^{2} = 144 + 25 }} \\ \\ { \sf{ {Hyp}^{2} = 169}} \\ \\ { \sf{ Hyp = \sqrt{169} }} \\ \\ { \sf{ Hyp =13}}$

So, Hypotenuse = 13

${ \sf{cosecA = \frac{hypotenuse}{opposite} }} \\ \\ { \sf{cosecA = \frac{13}{12} }}$