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Polymer Science and Technology, Third Edition by Joel R. Fried

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Appendix E. Mathematical Relationships

Trigonometric Functions

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sin2 θ + cos2 θ = 1

sin(θ ± φ) = sin θ cos θ ± cosθ sin φ

sin 2θ = 2 sin θ cosθ

cos 2θ = cos2 θ – sin2 θ

Euler’s Identities

eiθ = cosθ + isin θ

e = cos θi sin θ

Quadratic Equation (ax2 + bx + c = 0)

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Derivatives

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Indefinite Integrals

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Definite Integrals

Geometric Series

Taylor Series ...

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