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- Begin your assignment or other high school algebra II work.
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This chapter of our high school algebra II tutoring solution will benefit any student who is trying to learn trigonometry and earn better grades. This resource can help students including those who:
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- Graph sine and cosine transformations.
- Graph tangent functions.
- Memorize the first quadrant of the unit circle.
- Use the unit circle to relate right triangles to sine and cosine.
- List the properties of special right triangles.
- Become familiar with the law of sines and law of cosines.
- Understand the applications of the double angle formula.
- Convert between radians and degrees and vice versa.
- Solve trigonometric equations for x.
- Name the basic trigonometric identities.
1. Graphing Sine and Cosine Transformations
The sine and cosine signal waveforms, or waves, can be transformed in multiple ways. Learn how to identify the three types of sine and cosine transformations, including amplitude, period, and phase shift, and practice graphing the transformations with sample problems.
2. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift
Unlike other trigonometric functions, a tangent function can be transformed in four different ways. Learn how to graph the tangent function and to visualize and change the amplitude, period, phase shift, and vertical shift of a tangent function.
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. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. How to Solve Trigonometric Equations for X
Trigonometric functions can be simplified using their inverses and their angles can be solved within their restricted domains. Learn how to solve trigonometric equations for x using inverse operations and based on trigonometric restrictions.
11. List of the Basic Trig Identities
The fundamental trigonometric identities are equations applicable to triangles with a right angle. Discover the trigonometric identities established using sine, cosine, tangent, cotangent, secant, and cosecant functions, and learn their use and applications.
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Other chapters within the High School Algebra II: Tutoring Solution course
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