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- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/01%3A_Right_Triangle_Trigonometry_Angles/1.0E%3A_1.E%3A_Right_Triangle_Trigonometry_Angles_(Exercises)These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra...These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed.
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/05%3A_Graphing_and_Inverse_Functions/5.02%3A_Properties_of_Graphs_of_Trigonometric_FunctionsWe saw in Section 5.1 how the graphs of the trigonometric functions repeat every 2π radians. In this section we will discuss this and other properties of graphs, especially for the sinusoidal function...We saw in Section 5.1 how the graphs of the trigonometric functions repeat every 2π radians. In this section we will discuss this and other properties of graphs, especially for the sinusoidal functions (sine and cosine).
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/05%3A_Graphing_and_Inverse_Functions
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/05%3A_Graphing_and_Inverse_Functions/5.01%3A_Graphing_the_Trigonometric_FunctionsThe trigonometric functions can be graphed just like any other function, as we will now show. In the graphs we will always use radians for the angle measure.
- https://math.libretexts.org/Bookshelves/Precalculus/Exercises_(Precalculus)/Exercises%3A_Elementary_Trigonometry_(Corral)/4.E%3A_Radian_Measure_(Exercises)These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra...These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed.
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/01%3A_Right_Triangle_Trigonometry_Angles/1.03%3A_Applications_and_Solving_Right_TrianglesThroughout its early development, trigonometry was often used as a means of indirect measurement, e.g. determining large distances or lengths by using measurements of angles and small, known distances...Throughout its early development, trigonometry was often used as a means of indirect measurement, e.g. determining large distances or lengths by using measurements of angles and small, known distances. Today, trigonometry is widely used in physics, astronomy, engineering, navigation, surveying, and various fields of mathematics and other disciplines. In this section we will see some of the ways in which trigonometry can be applied. Your calculator should be in degree mode for these examples.
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/04%3A_Radian_Measure/4.04%3A_Circular_Motion-_Linear_and_Angular_SpeedSo suppose that an object moves along a circle of radius r, traveling a distance s over a period of time t, as in Figure 4.4.1. Then it makes sense to define the (average) linear speed ν of the object...So suppose that an object moves along a circle of radius r, traveling a distance s over a period of time t, as in Figure 4.4.1. Then it makes sense to define the (average) linear speed ν of the object as: \(v=\frac{s}{t}\). Let θ be the angle swept out by the object in that period of time. Then we define the (average) angular speed ω of the object as: \(ω = \frac{θ}{ t}\).
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/03%3A_IdentitiesThumbnail: If \(\theta \) is in QIII, then the legs of the right triangle formed by the reference angle have lengths \(|x| \) and \(|y| \) (we use absolute values because \(x \) and \(y \) are negativ...Thumbnail: If \(\theta \) is in QIII, then the legs of the right triangle formed by the reference angle have lengths \(|x| \) and \(|y| \) (we use absolute values because \(x \) and \(y \) are negative in QIII).
- https://math.libretexts.org/Bookshelves/Precalculus/Exercises_(Precalculus)/Exercises%3A_Elementary_Trigonometry_(Corral)/1.E%3A_Right_Triangle_Trigonometry_Angles_(Exercises)These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra...These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed.
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/01%3A_Right_Triangle_Trigonometry_Angles/1.04%3A_Trigonometric_Functions_of_Any_AngleTo define the trigonometric functions of any angle - including angles less than 0° or greater than 360° - we need a more general definition of an angle. We say that an angle is formed by rotating a ra...To define the trigonometric functions of any angle - including angles less than 0° or greater than 360° - we need a more general definition of an angle. We say that an angle is formed by rotating a ray OA about the endpoint O (called the vertex), so that the ray is in a new position, denoted by the ray OB. The ray OA is called the initial side of the angle, and OB is the terminal side of the angle.
- https://math.libretexts.org/Bookshelves/Precalculus/Elementary_Trigonometry_(Corral)/02%3A_General_Triangles/2.0E%3A_2.E%3A_General_Triangles_(Exercises)These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra...These are homework exercises to accompany Corral's "Elementary Trigonometry" Textmap. This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed.
