In this lesson, we will learn how to approximate trigonometric functions when the angle of the function is close to zero.

Students will be able to

Q1:

What is the approximate value of sintantan2𝑥−𝑥+𝑥2𝑥 for small values of 𝑥 measured in radians?

Q2:

What is the approximate value of cossin2𝑥−1𝑥 for small values of 𝑥 measured in radians?

Q3:

By first showing that when 𝜃 is a small angle measured in radianssincostan2𝜃−4𝜃+𝜃≈8𝜃+3𝜃−1, state the approximate value of sincostan2𝜃−4𝜃+𝜃 for small values of 𝜃 measured in radians.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.