Using cos x approx 1 minus x squared over 2, estimate cos(0.2).

Fred says small angle approximations work in degrees too, so sin(1 degree) is about 1. Is Fred right?

Using cos x approx 1 - x squared/2, estimate cos(0.2).

For small x measured in radians, sin x is approximately what?

• 1 minus x squared over 2
• x
• 1

Near the origin, how do the graphs of y = sin x and y = x compare?

• they cross at right angles
• they are almost identical
• they stay one unit apart
• they meet only at x = 1

Near the origin, how do the graphs of y equals sin x and y equals x compare?

• They cross at right angles
• They stay one unit apart
• They are almost identical

Using cos x approx 1 - x squared/2, estimate cos(0.1).

Using cos x approx 1 minus x squared over 2, estimate cos(0.1).

Using sin x approx x, what is (sin 0.06) over 0.06 to the nearest whole number?

Take sin(0.3) approx 0.3. The next Taylor term is -x cubed/6. About how big is the correction?

• 0.09
• 0.027
• 0.00045
• 0.0045