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- https://math.libretexts.org/Bookshelves/Precalculus/Book%3A_Precalculus__An_Investigation_of_Functions_(Lippman_and_Rasmussen)/05%3A_Trigonometric_Functions_of_Angles/5.04%3A_The_Other_Trigonometric_FunctionsIn the previous section, we defined the sine and cosine functions as ratios of the sides of a right triangle in a circle. Since the triangle has 3 sides there are 6 possible combinations of ratios. Wh...In the previous section, we defined the sine and cosine functions as ratios of the sides of a right triangle in a circle. Since the triangle has 3 sides there are 6 possible combinations of ratios. While the sine and cosine are the two prominent ratios that can be formed, there are four others, and together they define the 6 trigonometric functions.
- https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/09%3A_Trigonometric_Identities_and_Equations/9.02%3A_Solving_Trigonometric_Equations_with_IdentitiesIn this section, we will begin an examination of the fundamental trigonometric identities, including how we can verify them and how we can use them to simplify trigonometric expressions.
- https://math.libretexts.org/Bookshelves/Precalculus/Book%3A_Trigonometry_(Sundstrom_and_Schlicker)/01%3A_The_Trigonometric_Functions/1.06%3A_Other_Trigonometric_FunctionsWe defined the cosine and sine functions as the coordinates of the terminal points of arcs on the unit circle. As we will see later, the sine and cosine give relations for certain sides and angles of ...We defined the cosine and sine functions as the coordinates of the terminal points of arcs on the unit circle. As we will see later, the sine and cosine give relations for certain sides and angles of right triangles. It will be useful to be able to relate different sides and angles in right triangles, and we need other circular functions to do that. We obtain these other circular functions – tangent, cotangent, secant, and cosecant – by combining the cosine and sine together in various ways.
- https://math.libretexts.org/Courses/City_College_of_San_Francisco/CCSF_Calculus_II__Integral_Calculus_._Lockman_Spring_2024/01%3A_Fast_Review_of_Important_Calc_I_Stuff/1.01%3A_TrigonometryTrigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. In fact, almost any repetitive, or ...Trigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. In fact, almost any repetitive, or cyclical, motion can be modeled by some combination of trigonometric functions. In this section, we define the six basic trigonometric functions and look at some of the main identities involving these functions. In addition, we review inverse trigonometric functions and their ranges.
- https://math.libretexts.org/Courses/North_Hennepin_Community_College/Math_1120%3A_College_Algebra_(Lang)/06%3A_Trigonometric_Functions_of_Angles/6.04%3A_The_Other_Trigonometric_FunctionsIn the previous section, we defined the sine and cosine functions as ratios of the sides of a right triangle in a circle. Since the triangle has 3 sides there are 6 possible combinations of ratios. Wh...In the previous section, we defined the sine and cosine functions as ratios of the sides of a right triangle in a circle. Since the triangle has 3 sides there are 6 possible combinations of ratios. While the sine and cosine are the two prominent ratios that can be formed, there are four others, and together they define the 6 trigonometric functions.
- https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/08%3A_Periodic_Functions/8.03%3A_Graphs_of_the_Other_Trigonometric_FunctionsThis section addresses the graphing of the Tangent, Cosecant, Secant, and Cotangent curves.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/Professor's_Playground/MAT_206.5_Intermediate_Algebra_and_Precalculus_alpha/7%3A_Trigonometric_Identities_and_Equations/7.1%3A_Simplifying_Trigonometric_Expressions_with_IdentitiesIn this section, we will begin an examination of the fundamental trigonometric identities, including how we can verify them and how we can use them to simplify trigonometric expressions.
- https://math.libretexts.org/Courses/Reedley_College/Trigonometry/03%3A_Trigonometric_Identities_and_Equations/3.01%3A_Solving_Trigonometric_Equations_with_IdentitiesIn this section, we will begin an examination of the fundamental trigonometric identities, including how we can verify them and how we can use them to simplify trigonometric expressions.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/07%3A_Periodic_Functions/7.03%3A_Graphs_of_the_Other_Trigonometric_FunctionsThis section addresses the graphing of the Tangent, Cosecant, Secant, and Cotangent curves.
- https://math.libretexts.org/Bookshelves/Precalculus/Active_Prelude_to_Calculus_(Boelkins)/04%3A_Trigonometry/4.02%3A_The_Tangent_FunctionWe typically use the first perspective of tracking the ratio of the \(y\)-coordinate to the \(x\)-coordinate of a point traversing the unit circle in order to think of the overall behavior and graph o...We typically use the first perspective of tracking the ratio of the \(y\)-coordinate to the \(x\)-coordinate of a point traversing the unit circle in order to think of the overall behavior and graph of the tangent function, and use the second perspective in a right triangle whenever we are working to determine missing values in a triangle.
- https://math.libretexts.org/Bookshelves/Algebra/Algebra_and_Trigonometry_1e_(OpenStax)/08%3A_Periodic_Functions/8.02%3A_Graphs_of_the_Other_Trigonometric_FunctionsThis section addresses the graphing of the Tangent, Cosecant, Secant, and Cotangent curves.
