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Precalculus

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Book Contents

Faculty Resources
Student Resources
1. Glossary of Terms
2. Students: Additional Lumen Resources
Module 1: Introduction to Functions
Module 2: Working with Functions
Module 3: Linear Functions
Module 4: Polynomial Functions
Module 5: Polynomial Equations
Module 6: Rational Functions
Module 7: Exponential and Logarithmic Functions
Module 8: Exponential and Logarithmic Equations
Module 9: Systems of Equations and Inequalities
Module 10: Matrices and Matrix Operations
Module 11: Sequences
Module 12: Probability and Counting Theory
Module 13: Trigonometric Functions
Module 14: Periodic Functions
Module 15: Trigonometric Identities and Equations
Module 16: Triangle Trigonometry
Module 17: Polar Functions
Module 18: Parametric Functions and Vectors
Module 19: Conics
Module 20: Introduction to Calculus
Practice Tests
Appendix
1. Appendix

Trigonometric Identities and Equations: Background You’ll Need 2

Solve linear equations using inverse operations

Solve [latex]3x + 5 = 11[/latex].
Solve [latex]-4x - 8 = 12[/latex].

Solve [latex]3x + 5 = 11[/latex].
[latex]\begin{align} 3x + 5 &= 11 \\ 3x &= 11 - 5 \\ 3x &= 6 \\ x &= \frac{6}{3} = 2 \end{align}[/latex]
Solve [latex]-4x - 8 = 12[/latex].
[latex]\begin{align} -4x - 8 &= 12 \\ -4x &= 12 + 8 \\ -4x &= 20 \\ x &= -5 \end{align}[/latex]

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