Question

if cotA=5/12,then sinA+cosA is A)17/13 B)12/13 C)5/13 D)20/13​

Answer 1

Answer:

A) 17/13

Step-by-step explanation:

cot A = 5/12 = adj/opp

adj = 5 opp = 12

by Pythagoras theorem

${hyp}^{2} = {adj}^{2} + {opp}^{2} \\ = {5}^{2} + {12}^{2} \\ = 25 + 144 \\ = 169 \\ {hyp}^{2} = 169 \\ hyp = \sqrt{169} = 13$

sin A = opp/hyp = 12/13

cos A = adj/hyp = 5/13

sin A + cos A

= 12/13 + 5/13

= (12+5)/13

= 17/13

answer is A) 17/13

hope you get your answer