**1. Are the graphs of y = sin x and y = 2sin x the same shape?**

Yes, they are the same shape. However they have different amplitudes. y = 2sin x is a "stretched out" version of y = sin x

**2. Is the graph of y = sin x the same as the graph of y = cos(x + π)?**

Yes, the graph of second function is a translation of y = sin x of 180

°and thus the two graphs are the same.

**3. Can the sine of an angle greater than 360 ^{o}**

**be found?**

Yes, the sine, cosine and tangent of

anysized angle can be found (even negative ones).The functions are called

periodicfunctions and exist for all angles. On most occasions graphs are drawn between 0^{o}and 360^{o}.