Enhance Your Learning with Trigonometric Equations Flash Cards for quick learning
An equation that involves trigonometric functions of an unknown angle.
A trigonometric function that represents the ratio of the length of the side opposite a given angle to the length of the hypotenuse in a right triangle.
A trigonometric function that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
A trigonometric function that represents the ratio of the length of the side opposite a given angle to the length of the adjacent side in a right triangle.
The reciprocal of the sine function, equal to the ratio of the length of the hypotenuse to the length of the side opposite a given angle in a right triangle.
The reciprocal of the cosine function, equal to the ratio of the length of the hypotenuse to the length of the adjacent side in a right triangle.
The reciprocal of the tangent function, equal to the ratio of the length of the adjacent side to the length of the side opposite a given angle in a right triangle.
An equation that is true for all values of the variables within its domain.
A trigonometric identity that relates the three basic trigonometric functions in a right triangle: sin^2θ + cos^2θ = 1.
Trigonometric identities that express the sine, cosine, and tangent of the sum or difference of two angles in terms of the sine, cosine, and tangent of the individual angles.
Trigonometric identities that express the sine, cosine, and tangent of twice an angle in terms of the sine, cosine, and tangent of the angle.
Trigonometric identities that express the sine, cosine, and tangent of half an angle in terms of the sine, cosine, and tangent of the angle.
Functions that give the angle whose trigonometric function value is a given number.
The inverse function of the sine function, denoted as sin^(-1)(x) or asin(x).
The inverse function of the cosine function, denoted as cos^(-1)(x) or acos(x).
The inverse function of the tangent function, denoted as tan^(-1)(x) or atan(x).
The inverse function of the cosecant function, denoted as csc^(-1)(x) or acsc(x).
The inverse function of the secant function, denoted as sec^(-1)(x) or asec(x).
The inverse function of the cotangent function, denoted as cot^(-1)(x) or acot(x).
The set of all possible solutions to a trigonometric equation.
The solution to a trigonometric equation that lies within a specified interval.
A function that repeats its values in regular intervals.
The smallest positive value of x for which a periodic function f(x) repeats.
The maximum absolute value of a periodic function.
The horizontal displacement of a periodic function.
The vertical displacement of a periodic function.
An equation that involves multiple angles, such as sin(2x) or cos(3x).
An equation that involves inverse trigonometric functions, such as sin^(-1)(x) or cos^(-1)(x).
An equation that involves quadratic terms of trigonometric functions, such as sin^2(x) or cos^2(x).
An equation that involves exponential terms of trigonometric functions, such as e^(ix) or e^(-ix).
An equation that involves logarithmic terms of trigonometric functions, such as log(sin(x)) or log(cos(x)).
An equation that involves absolute value of trigonometric functions, such as |sin(x)| or |cos(x)|.
An equation that involves rational functions of trigonometric functions, such as sin(x)/cos(x) or cos(x)/sin(x).
An equation that involves radical terms of trigonometric functions, such as sqrt(sin(x)) or sqrt(cos(x)).
An equation that involves complex numbers in trigonometric functions, such as sin(ix) or cos(ix).
An equation that involves parametric equations of trigonometric functions, such as x = sin(t) or y = cos(t).
An equation that involves series representation of trigonometric functions, such as sin(x) = x - (x^3)/3! + (x^5)/5! - ...
An equation that involves integral of trigonometric functions, such as ∫sin(x) dx = -cos(x) + C.
An equation that involves differential equation of trigonometric functions, such as d^2y/dx^2 + y = 0.
An equation that involves limit of trigonometric functions, such as lim(x->0) sin(x)/x = 1.
An equation that involves derivative of trigonometric functions, such as d/dx sin(x) = cos(x).
An equation that involves integral equation of trigonometric functions, such as ∫sin(x) dx = x + C.
A system of equations that involves differential equations of trigonometric functions, such as dy/dx = y and dz/dx = z.
An equation that involves infinite series of trigonometric functions, such as sin(x) = x - (x^3)/3! + (x^5)/5! - ...
An equation that involves matrix representation of trigonometric functions, such as A*sin(x) = B*cos(x).
An equation that involves vector representation of trigonometric functions, such as |A|*|B|*sin(θ) = |A x B|.
An equation that involves complex analysis of trigonometric functions, such as Res(f, z) = 0.
An equation that involves differential geometry of trigonometric functions, such as κ = 1/R.
An equation that involves Fourier analysis of trigonometric functions, such as f(x) = ∑[n=-∞ to ∞] c_n * e^(inx).
An equation that involves Laplace transform of trigonometric functions, such as L{sin(t)} = 1/(s^2 + 1).
An equation that involves Z-transform of trigonometric functions, such as Z{sin(n)} = z/(z^2 - 2z*cos(n) + 1).
An equation that involves differential calculus of trigonometric functions, such as d(sin(x))/dx = cos(x).
An equation that involves integral calculus of trigonometric functions, such as ∫cos(x) dx = sin(x) + C.
An equation that involves vector calculus of trigonometric functions, such as ∇ x F = 0.