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Happy New Year!
Usually at the beginning of the year, the PreCalc classes will start you on Trigonometry, which a lot of students loathe….It’s usually not too bad, but you may find that you have to memorize a little more for your trig sections. That’s OK! Don’t be afraid to do some memorization in your math classes.
Did you know that the word “Trigonometry” means “Triangle Measure”? That’s what trig is all about – measuring triangles (specifically, angles and sides of triangles).
I find that if the kids I tutor really liked Geometry, they usually prefer Trig to Algebra, since a lot of trig is visual. But that doesn’t mean there isn’t a lot of algebra in trig…
Here are the sections I’ve completed on SheLovesMath.com on Trig; hope they help (and let me know if I’m missing anything). Enjoy! And check out my new Calculus sections – almost done!
Happy Math’ing, Lisa 🙂
Trigonometry
Right Triangle Trigonometry
Angles and the Unit Circle
Linear and Angular Speeds, Area of Sectors, and Length of Arcs
Graphs of Trig Functions
Transformations of Trig Functions
- T-Charts for the Six Trigonometric Functions
- Sine and Cosine Transformations
- Cosecant and Secant Transformations
- Tangent and Cotangent Transformations
- Transformations of all Trig Functions without T-Charts
The Inverses of Trigonometric Functions
- Introduction to Inverse Trig Functions
- Graphs of Inverse Functions
- Evaluating Inverse Trig Functions – Special Angles
- Transformations of the Inverse Trig Functions
Solving Trigonometric Equations
- Solving Trigonometric Equations Using the Unit Circle
- Solving Trigonometric Equations – General Solutions
- Solving Trigonometric Equations with Multiple Angles
- Factoring to Solve Trigonometric Equations
- Solving Trigonometric Equations on the Calculator
- Solving Trig Systems of Equations
- Trigonometric Inequalities
Trigonometric Identities
- Reciprocal and Quotient Identities
- Pythagorean Identities
- Solving with Reciprocal, Quotient and Pythagorean Identities
- Sum and Difference Identities
- Solving with Sum and Difference Identities
- Double Angle and Half Angle Identities
- Solving with Double and Half Angle Identities
- Trig Identity Summary and Mixed Identity Proofs
Law of Sines and Cosines and Areas of Triangles
- Review of Right Triangle Trig
- Law of Sines
- Law of Cosines
- Area of Triangles
- Applications/Word Problems
Polar Coordinates, Equations and Graphs
- Plotting Points Using Polar Coordinates
- Polar-Rectangular Point Conversions
- Drawing Polar Graphs
- Converting Equations from Polar to Rectangular
- Converting Equations from Rectangular to Polar
- Polar Graph Points of Intersection