Question

Given angles x and y are acute such that sin(x)=(4)/(5)and sin(y)=(5)/(13), then what is sin(x+y)

Answer 1

Answer:

63/65

Step-by-step explanation:

sin(x)=4/5

__> cos(x)=3/5

sin(y)=5/13

___> cos(y)=12/13

sin(x+y)= sin x * cos y + cos x * sin y

= {(4/5)*(12/13)} + {(3/5)*(5/13)}

= (48/65) + (3/13)

=63/65