Like degrees, radians are an alternative unit for measuring angle. There are 360º, or 2π radians in a full turn.

The small-angle approximations are estimates of the basic trigonometric functions, valid when θ ≈ 0 and θ is in radians.

We can use the small-angle approximations to solve more complicated algebraic expressions.

1

Given that θ is small and is measured in radians, use the small angle approximations to find the approximate value of (1 − cos4θ)/(2θsin3θ).

2

How many degrees are there in 2/3π radians?

3

Using the small-angle approximations, sinθ/cosθ × A = θ. What trigonometric function is A?

4

Given that θ is small and is measured in radians, find (2θtanθ)/sin6θ.

5

State the value of y.