AQA A-level Maths Small angle approximations
This page covers the following topics:
2. Introduction to small angle approximations
3. Small angle approximations
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.
Given that θ is small and is measured in radians, use the small angle approximations to find the approximate value of (1 − cos4θ)/(2θsin3θ).
How many degrees are there in 2/3π radians?
Using the small-angle approximations, sinθ/cosθ × A = θ. What trigonometric function is A?
Given that θ is small and is measured in radians, find (2θtanθ)/sin6θ.
State the value of y.
End of page