Funções Trigonométricas: Seno e Cosseno

Trigonometric Functions: Sine and Cosine Trigonometric functions are angular functions obtained using the trigonometric circle. What are the Trigonometric Functions? The main trigonometric functions are: Sine Function. Cosine Function. Tangent Function. Trigonometric Function Sine The sine function is a periodic function that has an image within the interval [-1, 1], that is, -1 ≤ sen(x) ≤ 1, where x is a real number. Domain The domain of the function is the set of real numbers, that is, sen(x) is defined for any real x, so the domain of f(x) = sen(x) is the set R. Therefore: D = R Image The function sen(x) assumes the maximum value equal to 1, this occurs when the value of x represents an arc with first determination π/2. And the minimum value is equal to -1, when x represents an arc with first determination 3π/2. Period The period is the curve of the graph in the interval 0 to 2π, and is called a sinusoid. Therefore, the period of the sine is 2π. Parity The parity of the sine function is given by sin(-x) = – sin(x). Thus, f(x) = sin(x) is odd. Trigonometric Cosine Function The cosine function is also a periodic function that has an image in the interval [-1, 1], that is, for a real x -1 ≤ cos(x) ≤ 1. Domain The domain of the cosine function is the set of real numbers, that is, cos(x) is defined for any real x, so the domain of f(x) = cos(x) is the set R. Thus: D = R Image The cos(x) function assumes a maximum value equal to 1, which occurs when the value of x represents an arc with first determination 0. And the minimum value equal to -1, when x represents an arc with first determination π. Period The period is the curve of the graph in the interval 0 to 2π, and is called a cosine. Therefore, the period of the function is 2π. Parity Parity is given by cos(-x) = cos(x). Thus, f(x) = cos(x) is even. How do you see the period of a function? “A function is called periodic if there is a real number p greater than 0, such that: f(x)=f(x+p). Therefore, the smallest value of p that satisfies this equality is called the period of the function f”. Therefore, if the following occurs: f(x)= f(x+1.5)= f(x+3)= f(x+4.5), it is a periodic function whose period p = 1.5. What are trigonometric functions for? In mathematics, trigonometric functions are angular functions, important in the study of triangles and in the modeling of periodic phenomena. How to calculate the sine of an arc? In the case of sine, basic trigonometry taught in high school says that sine is the same as the following formula: sen ( / 6) = 1 / 2. The ratio of sine in radians is given by the angle of / 6. Our calculator is very simple and you will need the angle in degrees to obtain the result of the arcsine. trigonometric functions exercises trigonometric functions pdf trigonometric functions in the circle trigonometric functions formulas trigonometry trigonometric function formula trigonometric functions solved exercises high school inverse trigonometric functions sine function exercises sine function examples sine function period sine function summary characteristics of the sine function elements of the sine function tangent function how to calculate the image of a sine function cosine function and pair tangent function period of the cosine function cosine function enem cosine function (solved exercises) cosine function table graph of the cosine function exercises cosine function ppt trigonometric functions, sine function, sine function exercises, cosine function, sine and cosine function graph, trigonometry, sine and cosine function, graph of the sine function, graph of sine and cosine function, image of sine function, period of cosine function, period of trigonometric function, trigonometry, trigonometry saves me, graph of trigonometric functions, sine and cosine, cosine, trigonometric equation exercises, sine