Question

Which as the greatest value? Sin pi, sin 2pi, sin pi/2 or sin 3pi/2

Answer 1

To find the greatest value among \(\sin \pi\), \(\sin 2\pi\), \(\sin \frac{\pi}{2}\), and \(\sin \frac{3\pi}{2}\), let's evaluate each sine value:

1. \(\sin \pi = 0\)
2. \(\sin 2\pi = 0\)
3. \(\sin \frac{\pi}{2} = 1\)
4. \(\sin \frac{3\pi}{2} = -1\)

Now, we compare these values:

- \(\sin \pi = 0\)
- \(\sin 2\pi = 0\)
- \(\sin \frac{\pi}{2} = 1\) (greatest value)
- \(\sin \frac{3\pi}{2} = -1\)

Thus, the greatest value among them is \(\sin \frac{\pi}{2} = 1\).