Question

If cot A = 5/12 , then find the value of cosec A.​

Answer 1

Answer:

The value of cosec A is 13/12...

Step-by-step explanation:

Given, cot A = 5/12

So, Cot A = adjacent side / opposite side

5/12 = adjacent side / opposite side

So, adjacent side = 5, opposite side = 12

From Pythagoras theorem,

hypotenuse² = adjacent side² + opposite side²

= 5² + 12²

= 25 + 144

= 169

hypotenuse = 13

Now, cosec A = hypotenuse/opposite side

= 13/12

Answer 2

Step-by-step explanation:

cot A = 5/12 = adjacent/opposite

cosec A = hypotenuse/opposite

from Pythagoras therom,

${hypotenuse }^{2} = {opposite}^{2} + {adjacent}^{2}$

${hyp}^{2} = {12}^{2} + {5}^{2}$

${hyp}^{2} = 144 + 25$

${hyp}^{2} = 169$

$hyp = \sqrt{169}$

$hyp = 13$

Thus,

cosec A = 13/12