Question

When \[a=2\] and \[b=\frac{\pi}{4}\], what particular solution is obtained from \[y=a\sin(x+b)\]?

Options

• \[y=\sin\left(2x+\frac{\pi}{4}\right)\]

• \[y=2\cos\left(x+\frac{\pi}{4}\right)\]

• \[y=2\sin\left(x-\frac{\pi}{4}\right)\]

• \[y=2\sin\left(x+\frac{\pi}{4}\right)\]

Answer 1

Substitute the fixed values \[a=2\] and \[b=\frac{\pi}{4}\] into \[y=a\sin(x+b)\]. This gives \[y=2\sin\left(x+\frac{\pi}{4}\right)\], a particular solution.