Question

If sin A = 2/3
where 0° < A < 90°, what is the value of sin 2A

Answer 1

41.81

Answer 2

sin2A=2sinAcosA
sinA=2/3
we need to know what cosA is
sinA=opp/hyp=2/3
(opp)^2+(adj)^2=(hyp)^2
2^2+(adj)^2=3^2
(adj)^2=9-4
adj=sqrt{3}
cosA=adj/hyp=sqrt{3}/3

Answer 3

so sin2a=2*2/3*sqrt{3}/3=4sqrt{3}/9

Answer 4

answer given is actually 4sqrt{5} /9

Answer 5

dont know how to get it though

Answer 6

oh strive do you see i subtract wrong above

Answer 7

see that 9-4
i put 3 for some reason
its suppose to be 5

Answer 8

strive?

Answer 9

ohhh gotcha