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- Begin your assignment or other precalculus work.
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- Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.
- Become familiar with the basic trigonometric functions of sine, cosine and tangent.
- Understand the trigonometric functions of cotangent, secant and cosecant.
- Memorize the first quadrant of the unit circle.
- Use the unit circle to relate right triangles to sine and cosine.
- Solve problems involving circular trigonometric functions.
- Describe the types and properties of special right triangles.
- Determine the trigonometric function values of special angles.
- Become familiar with the law of sines and law of cosines.
- Discuss the double angle formula.
- Convert between radians and degrees.
1. Trigonometry: Sine and Cosine
Sine and cosine are basic trigonometric functions that are used to solve for the angles and sides of triangles. Review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.
2. Other Trigonometric Functions: Cotangent, Secant & Cosecant
Cotangent, secant, and cosecant are trigonometric functions that are reciprocals of tangent, cosine, and sine, respectively. Explore trigonometric functions and learn about cotangent, secant, and cosecant functions.
3. Unit Circle: Memorizing the First Quadrant
Memorizing the unit circle allows for calculation of its angles' trigonometric values without a calculator. Explore and memorize the unit circle's first quadrant, including its main points, and its sine, cosine, and tangent values.
4. Using Unit Circles to Relate Right Triangles to Sine & Cosine
A unit circle is a circle with a radius of 1, and a right triangle is a triangle with one right angle. Learn the trigonometric properties of right triangles and how to use unit circles to relate right triangles to sine and cosine.
5. Practice Problems with Circular Trigonometric Functions
Circular trigonometric functions are the trig functions which are calculated using a circle. Learn more about the unit circle, degrees, and radians, and apply your understanding by working through example problems.
6. Special Right Triangles: Types and Properties
There are two types of special right triangles that have either 30-60-90 degree angles or 45-45-90 degree angles. Learn more about the definitions and explore the properties of 30-60-90 and 45-45-90 degree angles of special right triangles through examples.
7. Trigonometric Function Values of Special Angles
All trigonometry is based on the right triangle, which is a triangle with one 90-degree right angle, and all trigonometric functions are ratios of the right triangle. Learn about right triangles, trigonometric functions, and values of special angles in trigonometry.
8. Law of Sines: Definition and Application
Law of Sines, also known as sine law or sine rule, is an equation relating the sines of the three angles of a triangle to its three sides. Learn about the definition of the Law of Sines and understand how to apply it by completing math problems involving triangles.
9. Law of Cosines: Definition and Application
The law of cosines is an equation that considers the two known sides of a triangle and the cosine of one of its known angles to find the one missing side. Explore the definition and application of the law of cosines and learn how to solve problems involving triangles through the given practice problems.
10. The Double Angle Formula
In trigonometry, a double angle is twice as large as a common angle. Learn how to calculate the double angle formula, explore trigonometry twins for sine, cosine, and tangent, and apply this information in practice problems using the double angle formula.
11. Converting Between Radians and Degrees
The two most widely used units of measure for angles are degrees and radians. Learn how to convert radians to degrees and degrees to radians using the concepts of proportion and priority.
12. Inversely Proportional: Definition, Formula & Examples
Connected quantities or variables can have one of three relationships: direct, inverse, and joint. Learn to define inversely proportional variables, and discover how to solve word problems and plot them on a graph.
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