Dimensionless numbers | Trigonometric functions | Ratios | Analytic functions | Angle | Trigonometry | Elementary special functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis. The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extend the sine and cosine functions to functions whose domain is the whole real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) are often used; then the domain of the other functions is the real line with some isolated points removed. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane with some isolated points removed. (Wikipedia).
Trigonometry 2 The Trigonometric Functions
Meet the 6 main trigonometric functions of right triangles and some of their identities.
From playlist Trigonometry
Trigonometry - Vocabulary of trigonometric functions
In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st
From playlist Trigonometry
Definition of Trigonometric Functions
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From playlist Trigonometry
What are the Inverse Trigonometric functions and what do they mean?
ð Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Trigonometric Functions of Special Angles
Evaluating #Trig Functions of Special Angles (multiples of pi/6 & pi/4) without words or numbers. How many of these trig ratios can Ss recall & quickly get again from interacting w/this? https://geogebra.org/m/Ac6RWjKy #GeoGebra #MTBoS #ITeachMath #geometry #trigonometry #math #maths #Math
From playlist Trigonometry: Dynamic Interactives!
The Ferris Wheel - Trigonometric Function Model (1 of 3: Setting up the equation)
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From playlist Trigonometric Functions and Graphs
Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
Math Ts: SAVE TIME & have your Trigonometry Ss (formatively) assess their own work! After solving a problem or 2 (like this), send them here: https://www.geogebra.org/m/hK5QfXah .
From playlist Trigonometry: Dynamic Interactives!
Evaluating the six trigonometric functions for a given angle on the unit circle
ð Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of the six trigonometric functions, we can then evaluate
From playlist Evaluate the Six Trigonometric Functions Given and Angle
Evaluate the six trig functions when given an angle in radians
ð Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of the six trigonometric functions, we can then evaluate
From playlist Evaluate the Six Trigonometric Functions Given and Angle
Use cofunction identities and trig identities to find the indicated trig functions
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
What are the definitions of trigonometric functions on the unit circle
ð Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit circle in evaluating the trigonometric functions of
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
What are the definitions of trigonometric functions of any angle
ð Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit circle in evaluating the trigonometric functions of
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Using even and odd properties to evaluate for sine
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
Evaluating for cosine using even and odd functions
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
Use even and odd identities to evaluate trig functions
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
How to evaluate for cosecant using even and odd properties
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
Evaluating for cosecant using even and odd properties
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
Find the cofunction of secant given value of tangent
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
Use even and odd trig properties to evaluate
ð Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The cofunction identities property states that the value of th
From playlist Trigonometric Functions and The Unit Circle
Learn how to evaluate for an angle by sketching the angle and using reference angles
ð Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of the six trigonometric functions, we can then evaluate
From playlist Evaluate the Six Trigonometric Functions Given and Angle