is tan x an odd function?
237089
Are Secant, Tangent, Cosecant, and Cotangent Even or Odd? We can determine whether each of the other basic trigonometric functions is even, odd, or neither, with just these two facts and the reciprocal identities. Thus tangent takes the form f(−x)=−f(x), so tangent is an odd function.
105995
Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it's important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).
596513
In your case, the function cot(x) is defined as 1tan(x) , which is cos(x)sin(x) . So, the zeros of the denominator are the ones of the sine function which, periodicity apart, are 0 and π . So, your vertical asymptotes are vertical lines of equations x=0 and x=π .
165971
This cubic function is indeed a "function" as it passes the vertical line test. In addition, this function possesses the property that each x-value has one unique y-value that is not used by any other x-element. This characteristic is referred to as being a 1-1 function.
814293
Since, tan(x)=sin(x)cos(x) the tangent function is undefined when cos(x)=0 . Therefore, the tangent function has a vertical asymptote whenever cos(x)=0 . Similarly, the tangent and sine functions each have zeros at integer multiples of π because tan(x)=0 when sin(x)=0 .
238296
Since y = tan -1x is the inverse of the function y = tan x, the function y = tan -1x if and only if tan y = x. But, since y = tan x is not one-to-one, its domain must be restricted in order that y = tan -1x is a function.
600992
Function y=arccos(x) Function y=cos(x) is not invertible (not one-to-one), because it fails horizontal line test. We can draw such horizontal line that it will intersect graph of more than once. ... Function is neither even, nor odd.
1211553
tanα and tanβ are the roots of the equation x2+ax+b=0 then the value of sin2(α+β)+asin(α+β)cos(α+β)+bcos2(α+β) is equal to. A . B . C .
541898
This is a bit surprising given our initial definitions. and the hyperbolic sine is the function sinhx=ex−e−x2. Notice that cosh is even (that is, cosh(−x)=cosh(x)) while sinh is odd (sinh(−x)=−sinh(x)), and coshx+sinhx=ex.
770783
sinx is known as a periodic function that oscillates at regular intervals. It crosses the x-axis (i.e. it is 0 ) at x=0,π, and 2π in the domain [0,2π] , and continues to cross the x-axis at every integer multiple of π .
452343
As indicated in other answers, tan and tanh are related to the function exp whereas arctan and artanh are related to the function log, whereby the transition from trigonometric functions to hyperbolic ones lives in the complex domain.
986933
1 Answer. This function is neither even nor odd, since neither f(−x)=f(x) nor f(−x)=−f(x) holds.
1402815
The exponential function x is neither nor odd. Rather, An exponential function is a sum of an even and an odd fuction. The even fuction is known as cosh x and odd function is known as sinh x.
660162
Solution: (a) tan(x) is a continuous function on the closed interval [0, π/4], so by Theorem 19.2, it is uniformly continuous on [0, π/4].
69633
['To find the roots of the equation, replace y with 0 and solve. 0=tan(x)', 'Take the inverse tangent of both sides of the equation to extract x from inside the tangent. x=arctan(0)', 'The exact value of arctan(0) is 0 . x=0.', 'The tangent function is positive in the first and third quadrants. ... ', 'Add π and 0 .']
257570
tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
1396030
The function cosh x has a Taylor series expression with only even exponents for x. Thus it is an even function, that is, symmetric with respect to the y-axis. The sum of the sinh and cosh series is the infinite series expression of the exponential function.