Question

If cosecA = 13 /5 , then find cotA ,secA and tanA.

Answer 1

Answer: 12/5, 13/12, 5/12

Step-by-step explanation:

sinA = 1/cosecA = 1/(13/5) = 5/13

$cos^2A = 1-sin^2A\\cos^2A = 1-25/169 = 144/169\\cosA =\sqrt{144/169} \\ cosA =12/13$

cotA = cosA/sinA = (12/13)/(5/13) = 12/5

secA = 1/cosA = 1/(12/13) =13/12

tanA = sinA/cosA = (5/13)/(12/13)= 5/12

Answer 2

Answer: Since , cosec theta is hypotenuse/opposite side= 13/5

By Pythagoras theorem, we will get the other side as 12 or √144

Step-by-step explanation:Now , tan A = opp/adj = 5/12

CotA= adj/opp= 12/5

SecA= hyp/adj= 13/12

That's it!