1996Unpublished venueRequires access

Algebra and Trigonometry: A View of the World Around Us

D. Wells, Lynn Tilson

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Abstract

Modelling and problem-solving functions. linear functions linear systems quadratic functions quadratic relations polynomial functions rational functions exponential and logarithmic functions trigonometric functions introduction to the sine and cosine functions three views of sine and cosine functions trigonometric functions in right triangles trigonometric functions in the unit circle the inverse trigonometric functions trigonometric functions as analytical tools the law of sines and the law of cosines vectors trigonometric identities trigonometric equations trigonometric functions as graphing tools parametric equations for conic sections graphs of general conic sections the polar coordinate system. Appendices: basic algebra reference calculator graphing tips. m

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Modelling and problem-solving functions. linear functions linear systems quadratic functions quadratic relations polynomial functions rational functions exponential and logarithmic functions trigonometric functions introduction to the sine and cosine functions three views of sine and cosine functions trigonometric functions in right triangles trigonometric functions in the unit circle the inverse trigonometric functions trigonometric functions as analytical tools the law of sines and the law of cosines vectors trigonometric identities trigonometric equations trigonometric functions as graphing tools parametric equations for conic sections graphs of general conic sections the polar coordinate system. Appendices: basic algebra reference calculator graphing tips. m

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Available abstract

Modelling and problem-solving functions. linear functions linear systems quadratic functions quadratic relations polynomial functions rational functions exponential and logarithmic functions trigonometric functions introduction to the sine and cosine functions three views of sine and cosine functions trigonometric functions in right triangles trigonometric functions in the unit circle the inverse trigonometric functions trigonometric functions as analytical tools the law of sines and the law of cosines vectors trigonometric identities trigonometric equations trigonometric functions as graphing tools parametric equations for conic sections graphs of general conic sections the polar coordinate system. Appendices: basic algebra reference calculator graphing tips. m

Key concepts: Differentiation of trigonometric functions, Integration using Euler's formula, Trigonometric substitution, Proofs of trigonometric identities, Trigonometric integral, Pythagorean trigonometric identity, Inverse trigonometric functions, Mathematics

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