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Curated OER
Sums and Difference of Cubes
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
Curated OER
Sum and Difference angle formulas
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Curated OER
Angle Sum and Difference
In this angle sum and difference activity, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
Curated OER
Trigonometry Sum and Difference Identities
In this algebra worksheet, students solve a word problem using trigonometric identities. They solve problems about a love triangle. There is an answer key.
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Trigonometric Identities
In this trigonometry instructional activity, students solve and analyze the reciprocal, quotient, Pythagorean and Cofunction Identities. They also discuss sum and difference identities, double angle and half angle identities.
Curated OER
Solving Polynomial Equations
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Curated OER
Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson plan, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
Curated OER
Trig Review
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
Curated OER
Mathematical Properties for Addition
In this math worksheet, students read about and learn the properties of addition. Students study the commutative, associative, identity and inverse properties. There are no problems on this page for students to solve.
Curated OER
Principal vs Principle
For this English grammar worksheet, students understand the differences between the usage of the words "principal" and "principle." Students read the definition of each and the given examples before taking the online...
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent
This tutorial introduces the sum and differnce formulas for tangent, and gives several examples of problems to be solved as well as proving other identities. Assumes knowledge of the sum and difference formulas for sine and cosine.
CK-12 Foundation
Ck 12: Trigonometry: Applications of Sum and Difference Formulas
[Free Registration/Login may be required to access all resource tools.] Solving equations and verifying identities with the sum and difference formulas.
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Sine and Cosine
An introduction to trigonometric identities, beginning with the sum and difference formulas. Some of the formulas are proven, some are left to the reader. Includes several examples and pictures.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Sum and Difference Formulas
Twenty problems are presented for practice working with sum and difference formulas for sine, cosine, and tangent.
CK-12 Foundation
Ck 12: Trigonometry: Sine Sum and Difference Formulas
[Free Registration/Login may be required to access all resource tools.] Sine of a sum or difference related to a set of cosine and sine functions. Here you'll learn to rewrite sine functions with addition or subtraction in their...
CK-12 Foundation
Ck 12: Trigonometry: Cosine Sum and Difference Formulas
[Free Registration/Login may be required to access all resource tools.] Examples, videos, and practice problems covering cosine of a sum or difference related to a set of cosine and sine functions. Here you'll learn to rewrite cosine...
Khan Academy
Khan Academy: Find Trig Values Using Angle Addition Identities
Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles. Students receive immediate feedback and have the opportunity to try questions...
Windstream
Ojk's Precalculus Study Page: Double and Half Angle Formulas
This tutorial introduces the double-angle and half-angle formulas for sine, cosine, and tangent, and gives sample application and proof exercises. Assumes knowledge of the sum and difference formulas.
Lawrence Hall of Science
The Math Page: Trigonometry: Trigonometric Identities
This resource clearly and thoroughly explains the many types of trigonometric identities. There are example problems solved, problems for the student to attempt, and answers to the student problems.