微積分-轉譯題目-以及作出英文解答

Question: Find the equation of tangent to the curve y = sin x at x = π.

At x = π,

y = sin π = 0

So the tangent is at the point ( π , 0 ).

dy / dx = cos x

dy / dx ( x = π ) = cos π = -1

So the slope at ( π , 0 ) is -1.

Then the equation:

( y - 0 ) / ( x - π ) = -1

x + y - π = 0

Find the equation of tangent to the curve y = sin x at x = π.