what is the domain of tan x 2 Now we know that cos x is zero for the angles 2 3 2 5 2 etc therefore Hence for these values tan x is not defined begin array l text So the domain of f x tan x will be R frac 2n 1 2 text and the range will be set of all real numbers R end array
Solution We know that the domain and range of trigonometric function tan x is given by Domain R 2n 1 2 Range Note that the domain is given by the values that x can take therefore the domains of tan x and 3 tan x are the same Hence the domain of y 3 tan x is R 2n 1 2 Enter your queries using plain English To avoid ambiguous queries make sure to use parentheses where necessary Here are some examples illustrating how to ask for the domain and range domain of log x x 2 1 x 2 1 domain find the domain of 1 e 1 x 1 function domain square root of cos x log 1 x 2 domain range of arccot x
what is the domain of tan x 2
what is the domain of tan x 2
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INVERSE TRIGONOMETRIC FUNCTIONS tan Part 4 Domain Range And
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Algebra Find the Domain and Range y tan x y tan x y tan x Set the argument in tan x tan x equal to 2 n 2 n to find where the expression is undefined x 2 n x 2 n for any integer n n The domain is all values of x x that make the expression defined Set Builder Notation Popular Problems Trigonometry Find the Domain y tan x 2 y tan x 2 y tan x 2 Set the argument in tan x tan x equal to 2 n 2 n to find where the expression is undefined x 2 n x 2 n for any integer n n The domain is all values of x x that make the expression defined Set Builder Notation
The domain of y sec x is the set x x R and x 2n 1 frac pi 2 n Z the range is the set y y R and y 1 or y 1 tan x We know that tan x frac sin x cos x Therefore Domain 1 1 Range 2 2 De nition sin 1 x means sin x when 1 x 1 and 2 cos 1 x Domain 1 1 Range 0 De nition cos 1 x means cos x when 1 x 1 and 0 3 tan 1 x Domain R Range 2 2 De nition tan 1 x means tan x when 2 2 sin sin 1 x x when 1 x 1
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Since the tangent function tan x is the ratio of the sine and cosine functions tan x frac sin x cos x it is not defined wherever the cosine of an angle is zero This happens at the odd multiples of frac pi 2 which means the domain of tan x is all real numbers except where x 2k 1 frac pi 2 for any integer Thus we can write the domain as 2 1 2 Which is basically saying that the input can be any real number other than odd multiples of 2
Domain all real numbers except pi 2 k pi k is an integer Range all real numbers Period pi x intercepts x k pi where k is an integer y intercepts y 0 symmetry since tan x tan x then tan x is an odd function and its graph is Answer link The domain of tan x is all real numbers except pi 2 pin where n is an integer The graph of tan x is shown below graph tan x 10 10 5 5 The graph of tan x has an asymptote at pi 2 and the period of the function is pi meaning the asymptote repeats and the function is undefined every pi units in the x direction
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what is the domain of tan x 2 - Answer link x pi 4 kpi 2 The domain of the function y tanf x is f x pi 2 kpi so 2x pi 2 kpirArrx pi 4 kpi 2