Question

How do you graph g(x)=sinx and sketch a tangent line at the point (0,0)?

Answer 1

Please see below.

Explanation:

The graph of the sine should be recalled from learning trigonometry.
The tangent line can be estimated (eyeballed) by imagining secant line through the point `(0,0)` and another point on the graph and then imagining what the line looks like as that other point gets closer and closer to the origin.
(Or use the fact that the derivative of sine is cosine, so the tangent line has slope `1` and equation `y=x`.)

graph{(y-sinx)(y-x)=0 [-3.897, 3.898, -1.947, 1.95]}