Curriculum / Math / 11th Grade / Unit 7: Trigonometric Identities and Equations / Lesson 1

Trigonometric Identities and Equations

Lesson 1

Math

Unit 7

11th Grade

Lesson 1 of 16

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Objective

Derive and verify trigonometric identities using transformations and equivalence of functions.

Lesson Map

Topic A: Basic Trigonometric Identities and Equivalent Expressions

Derive and verify trigonometric identities using transformations and equivalence of functions.

Standards

F.TF.C.8

Derive and use the Pythagorean identity to write equivalent expressions.

Standards

F.TF.C.8

Verify trigonometric identities using Pythagorean and reciprocal identities.

Standards

F.TF.C.8

Topic B: Solve Trigonometric Equations

Find angle measures using inverse trig functions in right triangles.

Standards

F.TF.B.6F.TF.B.7

Analyze inverse trigonometric functions graphically.

Standards

F.BF.B.4.DF.IF.C.7.EF.TF.B.6F.TF.B.7

Solve linear trigonometric equations.

Standards

F.TF.B.7

Solve linear trigonometric equations using $$u$$-substitution.

Standards

F.TF.B.7

Use inverse trigonometric functions to solve contextual problems.

Standards

F.TF.B.7

Solve quadratic trigonometric equations.

Standards

F.TF.B.6F.TF.B.7

Solve trigonometric equations using identities.

Standards

F.TF.B.7F.TF.C.8

Topic C: Advanced Identities and Solving Trigonometric Equations

Evaluate expressions using sum and difference formulas.

Standards

F.TF.C.9

Solve equations and prove identities using sum and difference formulas.

Standards

F.TF.C.9

Derive double angle formulas and use them to solve equations and prove identities.

Standards

F.TF.C.9

Use trigonometric identities to analyze graphs of functions.

Standards

F.TF.C.8F.TF.C.9

Topic D: Applications and Extensions of Trigonometric Functions

Use the Law of Sines to find missing side lengths and angle measures in acute triangles.

Standards

G.SRT.D.10

Find missing side lengths and angle measures using the Law of Cosines in acute triangles.

Standards

G.SRT.D.10

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