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YouTube

Sum and Difference Identities and Formulas - Sine, Cosine, Tangent

MooMooMath and Science via YouTube

Overview

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Explore sum and difference identities and formulas for sine, cosine, and tangent in this comprehensive 50-minute trigonometry tutorial. Learn how to evaluate exact values for angles not found on the unit circle using these formulas. Begin with an introduction to sum and difference formulas, then practice finding the sum of 105 degrees. Examine various formulas before tackling problems like finding a sum or difference equal to 5π/12 on the unit circle. Verify identities, understand ratios of triangle sides, and evaluate trigonometric values. Practice verifying results using sum and difference formulas, writing algebraic expressions, and solving equations in the interval [0, 2π]. Follow along with time-stamped sections for easy navigation through this in-depth trigonometry lesson.

Syllabus

Introduction to sum and difference formulas..
Find the sum of 105 degrees which is not on the unit circle..
Take a look at sum and difference formulas..
Find a sum or difference from the unit circle that is equal to 5 pi over 12.
Verify the identity..
Ratio of sides of triangles..
Evaluate and write the trig value..
Verify using sum and difference..
Write as an algebraic expression..
Find all of the solutions of the equation in the interval 0, to2 pi.

Taught by

MooMooMath and Science

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