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Trigonometry Identities: sin(x +/- y) = sin(x)cos(y) +/- cos(x)sin(y)

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mes4.3 K2 years agoPeakD2 min read

In this video I use the cos(x - y) identity which I proved in my earlier video to derive a very useful trigonometric identity for sin(x + y) and sin(x -y).

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Trigonometry Identities

https://files.peakd.com/file/peakd-hive/mes/243qaZQ6cqcKmZn21JNAWogURJjbajszd9feAf9AWcN1xPDbUBdng37aKL3QyAm2cPsMN.jpg

Addition and Subtraction Formulas

Addition: sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

https://files.peakd.com/file/peakd-hive/mes/23tHbkj8Axb8ygiuHwedQgkNqceH2copSwpyxj9DFfixsneAVaqGjdmujk9QSJYiLxsy4.png

Subtraction: sin(x - y) = sin(x)cos(y) - cos(x)sin(y)

https://files.peakd.com/file/peakd-hive/mes/23tSyz4YxF26rPmffMkHBVQbcsJ4dmT8e3bSXXJYszfqCokurXzDkwcB48mZAis2MfjoD.png

https://files.peakd.com/file/peakd-hive/mes/Eo4JkCmxaYovQSXNWGn8LpuYqaT2ovBem29rUYBgUiP4gTWn2u2xyV7QCjiQqxAVeLM.png

Sine and Cosine Addition / Subtraction Identities

https://files.peakd.com/file/peakd-hive/mes/23t8CSPFCBc6AoVqurtqPde5ouzMdQB5vumJMRPGkz5uVMxQtowTXre6afqWVGjMw4m8U.png

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