how to find the period of a function tan When dealing with functions like A sin Bx C D or A cos Bx C D remember that the coefficient B affects the function s period Specifically you can find the period by calculating frac 2 pi B for sine and cosine functions If you re working with tangent or cotangent functions use frac pi B
The formula for the period of the tangent function f x a tan bx is given by Period b Tangent function tan x is a periodic function and has a period of 1 Because b 1 in tan x How to Find Domain of Tangent Function The tangent function is not defined at odd multiples of 2 as the length of the base in a right triangle Divide pi by the absolute value of b to find the period of the tangent function For example suppose your tangent function is Plug b into the formula to obtain
how to find the period of a function tan
how to find the period of a function tan
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Question Video Finding The Period Of Trigonometric Functions Nagwa
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Possible Answers Correct answer Explanation The standard period of a tangent function is radians In other words it completes its entire cycle of values in that many radians To alter the period of the function you need to alter the value of the parameter of the trigonometric function Cos A H 1 2 tan O A 1 1 1 I personally don t know why they don t like irrational numbers in the denominator of fractions but they don t So they usually convert that fraction in both sin and cos by multiplying by 2 2 sin O H 1 2 1 2 2 2 1 2 2 2 2 2 cos 2 2
In addition while the period of the sine and cosine functions is P 2 P 2 the period of the tangent function is P P due to how the sine and cosine functions repeat the same values with different signs as a point traverses the unit circle Period of tan Cx pi C Period of cot Cx pi C Period of tan and cot occurs twice as frequently as sin cos because tan is slope and when you travel halfway pi radians around the unit circle you encounter another point on the same line same slope
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For all x in the domain of f p is the smallest positive number for which f is periodic and is referred to as the period of f The period of the tangent function is and it has vertical asymptotes at odd multiples of We can write this as tan tan To account for multiple full rotations this can also be written as The period of a function f f is defined to be the smallest positive value p p such that f x p f x f x p f x for all values x x in the domain of f f The sine cosine secant and cosecant functions have a period of 2 2 Since the tangent and cotangent functions repeat on an interval of length their period is Figure 9
Note that 1 tan sin cos sin cos sin cos tan and therefore tan is a periodic function whose period is equal to 2 tan sin cos sin cos sin cos tan Answer link The period of tan x is pi You can see it on the graph graph tanx 10 10 5 5 Example tan pi 4 and tan pi 4 pi have the same value 1
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how to find the period of a function tan - Cos A H 1 2 tan O A 1 1 1 I personally don t know why they don t like irrational numbers in the denominator of fractions but they don t So they usually convert that fraction in both sin and cos by multiplying by 2 2 sin O H 1 2 1 2 2 2 1 2 2 2 2 2 cos 2 2