00:01
We want to find the equation of the tangent line at a curve.
00:04
So we're given y equals the sine of x.
00:08
Let's start off by finding y prime as well.
00:12
The derivative sign is cosine.
00:16
So let's find the full point at x equals pi over six.
00:20
I believe it's pi over six.
00:23
Well, the sign of pi over six is what we need to know.
00:29
And so the sign of pi over six is the y value, which happens to be one half.
00:37
So now what is y prime? that's the last point we really need to find.
00:42
Y prime at pi over 6.
00:45
Well, that's the cosine of pi over 6, which is root 3 over 2.
00:49
So now all we have to do is plug it into the equation, y equals y0 plus m times x minus x not.
00:59
Because y equals y not, that is the y value that we start off.
01:05
That's one half...