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- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/01%3A_Functions_and_Graphs/1.04%3A_Trigonometric_FunctionsTrigonometric 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.
- https://math.libretexts.org/Courses/Chabot_College/MTH_1%3A_Calculus_I/01%3A_Functions_and_Graphs/1.04%3A_Trigonometric_FunctionsTrigonometric 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.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/05%3A_Graphs_of_the_Trigonometric_Functions/5.01%3A_Base_Graphs_of_the_Fundamental_Trigonometric_FunctionsThis section provides an overview of the fundamental trigonometric functions' base graphs. It explains the basic features of each graph, including its period, amplitude, and zeros. The section also of...This section provides an overview of the fundamental trigonometric functions' base graphs. It explains the basic features of each graph, including its period, amplitude, and zeros. The section also offers visual examples to aid understanding. The Symmetry Identities are introduced, and the section ends with a discussion of how the graph of a trigonometric function can be used to interpret the infinite number of solutions to these equations.
- 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/Bookshelves/Calculus/Calculus_(OpenStax)/01%3A_Functions_and_Graphs/1.03%3A_Trigonometric_FunctionsTrigonometric 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.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_I%3A_Differential_Calculus/01%3A_Functions_and_Graphs/1.03%3A_Trigonometric_Functions/1.3E%3A_Exercises_for_Section_1.3This page contains exercises on angle conversions, trigonometric functions, triangle side calculations, and solving identities. It covers sine and cosine equations, including amplitude, period, and ph...This page contains exercises on angle conversions, trigonometric functions, triangle side calculations, and solving identities. It covers sine and cosine equations, including amplitude, period, and phase shifts, along with applications in geometry, angular speed, and natural phenomena models. Additionally, it features mathematical models predicting temperature and tide height with their respective amplitudes and periods, complemented by graphs illustrating their periodic variations.
- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Nguyen)/01%3A_Functions_and_Graphs/1.04%3A_Trigonometric_FunctionsTrigonometric 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.
- https://math.libretexts.org/Under_Construction/Purgatory/Remixer_University/Username%3A_hdagnew@ucdavis.edu/Courses%2F%2FRemixer_University%2F%2FUsername%3A_hdagnew@ucdavis.edu%2F%2FMonroe2/Courses%2F%2FRemixer_University%2F%2FUsername%3A_hdagnew@ucdavis.edu%2F%2FMonroe2%2F%2F1%3A_Functions_and_Graphs_(Review)/Courses%2F%2FRemixer_University%2F%2FUsername%3A_hdagnew@ucdavis.edu%2F%2FMonroe2%2F%2F1%3A_Functions_and_Graphs_(Review)%2F%2F1.3%3A_Trigonometric_FunctionsThe solutions of the first equation are θ=0,±π,±2π,…. The solutions of the second equation are θ=π/4,(π/4)±(π/2),(π/4)±π,…. After checking for extraneous solutions, the set of solutions to the...The solutions of the first equation are θ=0,±π,±2π,…. The solutions of the second equation are θ=π/4,(π/4)±(π/2),(π/4)±π,…. After checking for extraneous solutions, the set of solutions to the equation is Let P=(x,y) be a point on the unit circle and let θ be the corresponding angle . Since the angle θ and θ+2π correspond to the same point P, the values of the trigonometric functions at θ and at θ+2π are the same.
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_I_(Reed)/01%3A_Functions_and_Graphs/1.03%3A_Trigonometric_FunctionsTrigonometric 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.
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_221_Calculus_1/01%3A_Functions_and_Graphs/1.04%3A_Trigonometric_FunctionsTrigonometric 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.
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/01%3A_Functions_and_Graphs/1.03%3A_Trigonometric_FunctionsTrigonometric 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.
