Curriculum / Math / 11th Grade / Unit 7: Trigonometric Identities and Equations / Lesson 5

Trigonometric Identities and Equations

Lesson 5

Math

Unit 7

11th Grade

Lesson 5 of 16

Objective

Analyze inverse trigonometric functions graphically.

Lesson Map

Topic A: Basic Trigonometric Identities and Equivalent Expressions

Lesson

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

Standards

F.TF.C.8

Lesson

Derive and use the Pythagorean identity to write equivalent expressions.

Standards

F.TF.C.8

Lesson

Verify trigonometric identities using Pythagorean and reciprocal identities.

Standards

F.TF.C.8

Topic B: Solve Trigonometric Equations

Lesson

Find angle measures using inverse trig functions in right triangles.

Standards

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

Lesson

Analyze inverse trigonometric functions graphically.

Standards

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

Lesson

Solve linear trigonometric equations.

Standards

F.TF.B.7

Lesson

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

Standards

F.TF.B.7

Lesson

Use inverse trigonometric functions to solve contextual problems.

Standards

F.TF.B.7

Lesson

Solve quadratic trigonometric equations.

Standards

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

Lesson

Solve trigonometric equations using identities.

Standards

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

Topic C: Advanced Identities and Solving Trigonometric Equations

Lesson

Evaluate expressions using sum and difference formulas.

Standards

F.TF.C.9

Lesson

Solve equations and prove identities using sum and difference formulas.

Standards

F.TF.C.9

Lesson

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

Standards

F.TF.C.9

Lesson

Use trigonometric identities to analyze graphs of functions.

Standards

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

Topic D: Applications and Extensions of Trigonometric Functions

Lesson

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

Standards

G.SRT.D.10

Lesson

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

Standards

G.SRT.D.10

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