Question

A curve is represented by y=sinx. If x is changed from pi/3 to pi/3+pi/100, find approximately the change in y?

Answer 1

Answer:

y=sinx

The change in the value of y can be obtained as:

So, y+Δy=sin(x+Δx)

Δy=sin(x+Δx)−sinx

π/3 +π/100= sin π/3

=0.0157.

y2-y1=Δy=0.0157