Chapter 6: Trigonometric Identities and Applications

SE Precalculus
8

Chapter 6: Trigonometric Identities and Applications

  • Subject(s): Math
  • Grade range: 9-12
  • Release date: 07-20-2017
  • Tags: reciprocal, quotient, negative angle, Pythagorean, solving equations, trigonometric identities, sum, difference, trigonometry, double angle, half angle, law of sines, law of cosines, Heron's formula, oblique, word problems, vectors, scalar multiplication, vector addition, ambiguous rule

Description

In this chapter, students will learn a robust list of trigonometric identities along with their applications. Students will also be introduced to vectors.

Standards

M.P.5.M, M.P.5.N, M.P.4.G, M.P.4.H, M.P.4.E, M.P.4.F, M.P.4.I, M.P.4.J, M.P.4.K

Resources

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SE Resource updt
Resource ID: SE121044 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video students will learn trigonometric identities, where they are derived from, and apply them in problems.
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SE Resource updt
Resource ID: SE121045 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn to solve trigonometric equations for cases of a set interval and of all solutions.
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SE Resource updt
Resource ID: SE121046 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will apply the sum and difference formulas of trigonometry.
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SE Resource updt
Resource ID: SE121047 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn double and half angle formulas, and how they are derived, and will apply them to various problems.
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SE Resource updt
Resource ID: SE121048 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will expand their knowledge to oblique triangles and apply the laws of sines and cosines, followed by area equations for oblique triangles.
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SE Resource updt
Resource ID: SE121049 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will use their knowledge of trigonometry and apply that knowledge to word problems.
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SE Resource updt
Resource ID: SE121050 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students are introduced to vectors, learn about vector addition and scalar multiplication, and then apply vectors to word problems.
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Resource ID: SE1210B Grade Range: 9-12 By: Texas Education Agency Subject: Math
The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.