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

Yes, they are the same shape. However they "start" at different places

2. Are there any values when cos x and sine x are equal?

Yes, between 0° and 360°, the values of 45o and 225o give the same values for cosine and sine.

These are the two places where the graphs of y = sin xo and y = cos xo cross.

3. Can the sine of an angle greater than 360o be found?

Yes, the sine, cosine and tangent of any sized angle can be found (even negative ones) .

On most occasions graphs are drawn between 0o and 360o.