Answer:
B. cos(ln(2x))/x
Step-by-step explanation:
We know that the inverse of sin is cosine. Note, arcsin means the same thing as inverse sin:
Because sin (a) = sin (b) --> a = arcsin (b)
- Therefore: ln(2x) = arcsin(y)
- Solve ln(2x)=arcsin(y) for x
- (e^arcsin(y))/2
Subsitute y = x
- (e^arcsin(x))/2
- Therefore, we get the answer as cos(ln(2x))/x
