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.
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