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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/5.01%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/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=st. 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)/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)/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)/05%3A_Graphing_and_Inverse_Functions
- 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)/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.
- 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)/02%3A_General_Triangles/2.05%3A_Circumscribed_and_Inscribed_CirclesRecall from the Law of Sines that any triangle has a common ratio of sides to sines of opposite angles. This common ratio has a geometric meaning: it is the diameter (i.e. twice the radius) of the uni...Recall from the Law of Sines that any triangle has a common ratio of sides to sines of opposite angles. This common ratio has a geometric meaning: it is the diameter (i.e. twice the radius) of the unique circle in which the trianble can be inscribed, called the circumscribed circle of the triangle.
