Question

If Cot A = 5/12, then sinA+ cosA is how much​

Answer 1

Answer:

17/13

Step-by-step explanation:

So 12/5 = tan a

sina = 12/13

cos a = 5/13

sin a + cos a = 17 / 13

Answer 2

cotA=5/12..........(Given)

since, tanA =1/cotA

tanA=12/5...........(1)

1+tan²A=sec²A

1+144/25=sec²A

sec²A=169/25

secA=13/5............(2)

since,

cosA=1/secA

CosA=5/13..........(3)

Sin²+Cos²=1..... Identity

therefore, sinA=12/13

therefore, SinA+cosA=5/13+12/13

answer=17/13