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Pre-Calculus: Unit 3

Analytic Trigonometry and Additional Topics in Trigonometry

Unit Focus:

  • Solve all types of trigonometric equations including: equations of quadratic type, ones involving multiple angles, others using sum and difference, multiple angles, power reducing, half angle, product to sum and sum to product formulas.

  • Find side lengths, angles, and areas of oblique triangles by using Law of Sines and the Law of Cosines.

  • Perform operations (addition, subtraction, and multiplication by scalars) on vectors in the plane and solve applied problems using vectors.

  • Represent vectors graphically and algebraically.

 

Unit 3

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  • Find exact values of trigonometric functions using sum and difference formulas.

  • Find exact values of trigonometric functions using double angle and half angle identities.

  • Prove trigonometric identities using Pythagorean, reciprocal, and quotient identities.

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  • Use laws of sine and cosine to solve oblique triangles and find their area.

  • Use Heron’s area formula to find area of triangles.

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  • Write the component forms of vectors.

  • Find the direction angles of vectors.

  • Find the resultant of two vectors.

  • Use vectors to model and solve real life solutions.

Skills                             Student Learning Objective (SLO)

SLO

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SLO

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SLO

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SLO

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