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5.3 Sum and Difference Identities

5.3 Sum and Difference Identities

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Tutorial

Proof of the Sum-Difference Formulas - Part 1, by MasterWuMathematics

Proofs as in our Textbook

Source: MasterWuMathematics at YouTube: https://www.youtube.com/watch?v=In6NZCp4cNA

sin(A+B), by Zach Wissner-Gross

Ingenious and Simple!!!

Source: Zach Wissner-Gross at YouTube: https://www.youtube.com/watch?v=qznBmRIYUB4

Proof of the sine of a Sum Formula, by Jayme Cronquist

Geometric traditional

Source: Jayme Cronquist at YouTube: https://www.youtube.com/watch?v=nt0Nfz5Lc0A

Proof of cos(A+B) formula, by Jeff O'Connell

As in our Textbook

Source: Jeff O'Connell at YouTube: https://www.youtube.com/watch?v=vxlr9oiMVRs

Visual proof of sin(A+B) and cos(A+B) in one picture, by Math Proofs

Very ingenious Geometric Proof, it builds a special rectangle using 4 right triangles of different sizes

Source: Math Proofs at YouTube: https://www.youtube.com/watch?v=ea6-ctMYn_Q

Proof of the Sum-Difference Formulas - Part 2, by MasterWuMathematics

As In our Tesxbook

Source: MasterWuMathematics at YouTube: https://www.youtube.com/watch?v=j1pPcEv1eSo

Rewriting A*sinx + B*cosx using cosine sum and difference, by turksvids

Source: turksvids at YouTube: https://www.youtube.com/watch?v=5RrN3Mb3SHc

The identity Asin(x) + Bcos(x) = Rsin(x+a), by ExamSolutions

Source: ExamSolutions at YouTube; https://www.youtube.com/watch?v=Tr8ck6qSXgc

The identity Acos(x) + Bsin(x) = Rcos(x-a), by ExamSolutions

Source: ExamSolutions at YouTube: https://www.youtube.com/watch?v=N9LLBIR18rM

The identity Acos(x) - Bsin(x) = Rcos(x+a), by ExamSolutions

Source: ExamSolutions at YouTube; https://www.youtube.com/watch?v=Z3Ky61hBEjE

Proof of A cos x + B sin x = R cos (x - alpha), by ExamSolutions

Source: ExamSolutions at YouTube: https://www.youtube.com/watch?v=am_pEZZAb-s

Trigonometry Equations : A cos x - B sin x = C Type, by ExamSolutions

Source: ExamSolutions at YouTube: https://www.youtube.com/watch?v=2INX2YMWiKc

Trigonometry Equations : A sin x - B cos x = C Type, by ExamSolutions

Source: ExamSolutions at YouTube: https://www.youtube.com/watch?v=cAokL9gKy98