Quiz 7.7:
Question:
5th Ed: #31
Graph \( y=2\sin t \) and \( y= \sin t + \sin (1.01t) \) for \( -2\pi \leq t \leq 2\pi \) on the same graph. Compare graphs.
Is \( \sin t + \sin (1.01t) = 2 \sin t \) an identity? Explain?
Is \( \sin t + \sin (1.01t) = 2 \sin t \) an identity? Explain?
5th Ed: #31
Solution:
Graphs:
Compare:
They look almost identical, but their difference grows as you move away from the origin.
Identity:
This is not an identity because the graphs differ.
