Sum and Difference Identities

Use sum and difference formulas for trig functions

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📝 Worked Example: Related Rates — Expanding Circle

Problem:

A stone is dropped into a still pond, creating a circular ripple. The radius of the ripple is increasing at a rate of $2$ cm/s. How fast is the area of the circle increasing when the radius is $10$ cm?

2Write the relationship between variables

3Differentiate both sides with respect to time

4Substitute known values

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📌 Related Topics in Trigonometric Functions

Degrees and Radians Unit Circle and Radian Measure (Combined - See Split Topics)Trigonometric Identities Arc Length and Sector Area The Unit Circle

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Use sum and difference formulas for trig functions

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Sum and Difference Identities is part of the AP Precalculus course on Study Mondo, specifically in the Trigonometric Functions section. You can explore the full course for more related topics and practice resources.