WebThe properties of the 6 trigonometric functions: sin (x), cos (x), tan (x), cot (x), sec (x) and csc (x) are discussed. These include the graph, domain, range, asymptotes (if any), symmetry, x and y intercepts and maximum and minimum points. Sine Function : f (x) = sin (x) Graph Domain: all real numbers Range: [-1 , 1] Period = 2pi WebFind the Domain and Range f (x)=-tan (4x) Mathway Precalculus Examples Popular Problems Precalculus Find the Domain and Range f (x)=-tan (4x) f (x) = − tan (4x) f ( x) = - tan ( 4 x) Set the argument in tan(4x) tan ( 4 x) equal to π 2 +πn π 2 + π n to find where the expression is undefined. 4x = π 2 +πn 4 x = π 2 + π n, for any integer n n
4.7: Domain and Range of a Function - Mathematics LibreTexts
WebMay 29, 2024 · domain: (-∞, ∞) \ (kπ+π/2 for integers k) range: (-∞, ∞) Step-by-step explanation: The tangent function is undefined at odd multiples of π/2. It can take on any value. The domain is all real numbers except … WebAnswer (1 of 4): What is the domain and range of f(x) = tan (arctan(x) + π/2) ? The domain of a function is part of the definition of the function. But if you told us the domain the … pinki moloi
Functions Domain & Range Calculator - Symbolab
WebNov 29, 2016 · All trigonometric functions are basically the trigonometric ratios of any given angle. For example if we take the functions, f (x)=sin x, f (z) = tan z, etc, we are … WebFor any trigonometric function, we can easily find the domain using the below rule. That is, Domain (y-1) = Range (y) More clearly, from the range of trigonometric functions, we can get the domain of inverse trigonometric functions. It has been explained clearly below. Domain of Inverse Trigonometric Functions Already we know the range of sin (x). WebWhat is the domain and range of f (x)=sin (3x-2)? This sinusoidal function is periodic in nature, and each cycle of its graph repeats every 2pi/3 radians from negative infinity to positive infinity. Its maximum value is +1 and its minimum value is -1. Therefore, its domain is all real numbers and its range is from -1 to +1. 2 Martin Scholtz pinki mehta