We know that sin x = 0 at integral multiples of π, hence the domain and range of trigonometric function cotangent are given by: Therefore the domain of cot x does not contain values where sin x is equal to zero. It can also be written as the ratio of cosine and sine functions, and cot x is the reciprocal of tan x. We know that the cotangent function is the ratio of the adjacent side and the opposite side in a right-angled triangle. We know that cos x = 0 at odd integral multiples of π/2, hence the domain and range of trigonometric function tangent are given by: It can also be written as the ratio of sine and cosine functions, therefore the domain of tan x does not contain values where cos x is equal to zero. We know that the tangent function is the ratio of the opposite and adjacent sides of a right-angled triangle. ☛Note: The domain and range of sin and cos graphs are the same. The domain and range of cosine are given by: We know that the cosine function is the ratio of the adjacent side and hypotenuse of a right-angled triangle. Domain = All real numbers, i.e., (−∞, ∞).The domain and range of trigonometric function sine are given by: We know that sine function is the ratio of the perpendicular and hypotenuse of a right-angled triangle. There are six main trigonometric functions, namely sin θ, cos θ, tan θ, cot θ, tan θ, cosec θ, and sec θ. The domain of trigonometric functions denotes the values of angles where the trigonometric functions are defined and the range of trigonometric functions gives the resultant value of the trigonometric function corresponding to the domain. The domain and range of trigonometric functions are the input values and the output values of trigonometric functions, respectively. What are the Domain and Range of Trigonometric Functions?ĭomain and Range of Trigonometric Functions Tableĭomain and Range of Inverse Trigonometric Functionsĭomain and Range of Trigonometric Functions Using GraphįAQs on Domain and Range of Trigonometric Functions In this article, we will explore the domain and range of trigonometric functions using table, and graph, and domain and range of inverse trigonometric functions along with examples for a better understanding. Some values are excluded from the domain and range of trigonometric functions depending upon the region where the trigonometric function is not defined. the range is the set of all or some real numbers.The domain of the trigonometric functions is the set of angles in degrees or radians and.The domain and range of trigonometric functions are given by the angle θ and the resultant value, respectively. There are six trigonometric functions sin θ, cos θ, tan θ, cot θ, tan θ, cosec θ, and sec θ. Domain and Range of Trigonometric Functions
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