how do you solve this: 6000=2500sin((90/13)x)+4500?

Question

how do you solve for x, its very confusing to me....

Answer 1

6000 = 2500 * sin ((90/13)*x)+4500__________ -4500
1500 = 2500 * sin ((90/13)*x) __________/2500
.6 = sin ((90/13)*x) _______________arcsin
arcsin (.6) = (90/13) * x ___________________ *(13/90)
(13* arcsin (.6))/90 = x

x =0.0929501602

Answer 2

6000 = 2500sin((90/13)x) + 4500
6000 = 500(5sin((90/13)x) + 9)
12 = 5sin((90/13)x) + 9
3 = 5sin((90/13)x)
(3/5) = sin((90/13)x)
sin^-1(3/5) = (90/13)x

ANS : x = (13/90)sin^-1(3/5) or about 5.32565

Inverse Operations