how to get range of trig functions Example Find the domain and range of y 3 tan x Solution Domain x R x neq pm frac 2n 1 pi 2 Notice that the domain is the same as the domain for y tan x because the graph was stretched vertically which does not change where the vertical asymptotes occur Range y R Example 1
The domain and range of trigonometric function sine are obtained as follows Domain color blue All real numbers i e Range color blue 1 1 Cosine function The cosine function is the ratio of the adjacent side and the hypotenuse of a right triangle The range of f x sin x and f x cos x will lie from 1 to 1 including both 1 and 1 i e 1 sin x 1 1 cos x 1 Now let us discuss the function f x tan x We know tan x sin x cos x
how to get range of trig functions
how to get range of trig functions
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Step 1 Find the domain of your trigonometric function by using the domain of the usual trigonometric functions Step 2 Determine the range of your function by Range 1 1 Period 2 tan x Domain x R x 2 3 2 5 2 Range R Set of real numbers Period cot x Domain x R x 0 2 3
This topic covers Unit circle definition of trig functions Trig identities Graphs of sinusoidal trigonometric functions Inverse trig functions solving trig equations Modeling with trig functions Parametric functions In this video we ll use a unit circle to find the Domain and Range of sin cos tan To watch more High School Math videos click here bit l
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Introduction to Trigonometric Functions Domain and Range of Trigonometric functions Compound Angles Trigonometric Equations Therefore the domain of y sinx and y cosx is the set of all real numbers the range is the interval 1 1 or 1 y 1 Cosec x or cscx We know that cscx frac 1 sin x Therefore Range sin x 1 x 1 1 y 1 cos x 1 x 1 1 y 1 tan x 6 3 5 1 y 1 2 2 2 2 y sin 1 x 1 x 1 2 y 2 cos 1 x 1 x 1 0 y tan 1 x 1 x 1 2 y 2 University of Minnesota
Trig functions have domains that are angle measures the inputs are all angles either in degrees or radians The outputs of the trig functions are real numbers The hitch here is that the different trig functions have different domains and ranges The basic formulas to find the trigonometric functions are as follows sin Perpendicular Hypotenuse cos Base Hypotenuse tan Perpendicular Base sec Hypotenuse Base cosec Hypotenuse Perpendicular cot Base Perpendicular As we can observe from the above given formulas sine and cosecant are reciprocals of each
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how to get range of trig functions - Step 1 Find the domain of your trigonometric function by using the domain of the usual trigonometric functions Step 2 Determine the range of your function by