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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/10%3A_Foundations_of_Trigonometry/10.03%3A_The_Six_Circular_Functions_and_Fundamental_IdentitiesWe previously defined cos(θ) and sin(θ) for angles θ using the coordinate values of points on the Unit Circle. As such, these functions earn the moniker circular functions (we will start using the phr...We previously defined cos(θ) and sin(θ) for angles θ using the coordinate values of points on the Unit Circle. As such, these functions earn the moniker circular functions (we will start using the phrase `trigonometric function' interchangeably with the term `circular function'). It turns out that cosine and sine are just two of the six commonly used circular functions which we define in this Module.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Stitz-Zeager)/10%3A_Foundations_of_Trigonometry/10.03%3A_The_Six_Circular_Functions_and_Fundamental_IdentitiesWe previously defined cos(θ) and sin(θ) for angles θ using the coordinate values of points on the Unit Circle. As such, these functions earn the moniker circular functions (we will start using the phr...We previously defined cos(θ) and sin(θ) for angles θ using the coordinate values of points on the Unit Circle. As such, these functions earn the moniker circular functions (we will start using the phrase `trigonometric function' interchangeably with the term `circular function'). It turns out that cosine and sine are just two of the six commonly used circular functions which we define in this Module.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_400%3A_Calculus_I_-_Differential_Calculus/02%3A_Discovering_Derivatives/2.05%3A_An_Interlude_-_Hyperbolic_FunctionsThe material in this section is likely not review. Instead, it introduces an important family of functions called the hyperbolic functions. These functions are used throughout calculus and differentia...The material in this section is likely not review. Instead, it introduces an important family of functions called the hyperbolic functions. These functions are used throughout calculus and differential equations.
- https://math.libretexts.org/Courses/Fresno_City_College/Math_4A%3A_Trigonometry_(Stitz_Zeager_Remix)/01%3A_Angles_and_Trigonometric_Functions/1.04%3A_The_Six_Circular_Functions_and_Fundamental_IdentitiesWe previously defined cos(θ) and sin(θ) for angles θ using the coordinate values of points on the Unit Circle. As such, these functions earn the moniker circular functions (we will start using the phr...We previously defined cos(θ) and sin(θ) for angles θ using the coordinate values of points on the Unit Circle. As such, these functions earn the moniker circular functions (we will start using the phrase `trigonometric function' interchangeably with the term `circular function'). It turns out that cosine and sine are just two of the six commonly used circular functions which we define in this Module.
- https://math.libretexts.org/Courses/City_College_of_San_Francisco/CCSF_Calculus/01%3A_Critical_Concepts_for_Calculus/1.07%3A_Hyperbolic_FunctionsThe material in this section is likely not review. Instead, it introduces an important family of functions called the hyperbolic functions. These functions are used throughout calculus and differentia...The material in this section is likely not review. Instead, it introduces an important family of functions called the hyperbolic functions. These functions are used throughout calculus and differential equations.
- https://math.libretexts.org/Bookshelves/Precalculus/Book%3A_Trigonometry_(Sundstrom_and_Schlicker)/01%3A_The_Trigonometric_Functions/1.02%3A_The_Cosine_and_Sine_FunctionsWe started our study of trigonometry by learning about the unit circle, how to wrap the number line around the unit circle, and how to construct arcs on the unit circle. We are now able to use these i...We started our study of trigonometry by learning about the unit circle, how to wrap the number line around the unit circle, and how to construct arcs on the unit circle. We are now able to use these ideas to define the two major circular, or trigonometric, functions: sine and cosine. These circular functions will allow us to model periodic phenomena such as tides, the amount of sunlight during the days of the year, orbits of planets, and many others.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/04%3A_Radian_Measure_and_the_Circular_Functions/4.03%3A_The_Trigonometric_Functions_-_Unit_Circle_DefinitionThis section introduces the unit circle as a powerful tool for defining trigonometric functions. It explains how each point on the unit circle relates to the sine and cosine of an angle, establishing ...This section introduces the unit circle as a powerful tool for defining trigonometric functions. It explains how each point on the unit circle relates to the sine and cosine of an angle, establishing the circular functions. By focusing on radians, it enhances understanding of how trigonometric functions operate over real numbers, offering practical calculations and examples of applying these concepts to solve real-world problems.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/07%3A_Radian_Measure_and_the_Circular_Functions/7.03%3A_The_Trigonometric_Functions_-_Unit_Circle_DefinitionThis section introduces the unit circle as a powerful tool for defining trigonometric functions. It explains how each point on the unit circle relates to the sine and cosine of an angle, establishing ...This section introduces the unit circle as a powerful tool for defining trigonometric functions. It explains how each point on the unit circle relates to the sine and cosine of an angle, establishing the circular functions. By focusing on radians, it enhances understanding of how trigonometric functions operate over real numbers, offering practical calculations and examples of applying these concepts to solve real-world problems.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_375%3A_Pre-Calculus/07%3A_Radian_Measure_and_the_Circular_Functions/7.03%3A_The_Trigonometric_Functions_-_Unit_Circle_DefinitionThis section introduces the unit circle as a powerful tool for defining trigonometric functions. It explains how each point on the unit circle relates to the sine and cosine of an angle, establishing ...This section introduces the unit circle as a powerful tool for defining trigonometric functions. It explains how each point on the unit circle relates to the sine and cosine of an angle, establishing the circular functions. By focusing on radians, it enhances understanding of how trigonometric functions operate over real numbers, offering practical calculations and examples of applying these concepts to solve real-world problems.