What trig functions have a period of pi?

All four functions are periodic: tangent and cotangent have period π whereas cosecant and secant have period 2π.

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In this way, what function has a period of pi?

As you can see, the tangent has a period of π, with each period separated by a vertical asymptote.

does Cotangent have a period of pi? The secant and cosecant have periods of length 2π, and we don't consider amplitude for these curves. The cotangent has a period of π, and we don't bother with the amplitude.

Considering this, what is the period of pi?

the usual period is 2π, but in our case that is "sped up" (made shorter) by the 4 in 4x, so Period = π/2.

How do you find the period of a trig function?

If your trig function is either a tangent or cotangent, then you'll need to divide pi by the absolute value of your B. Our function, f(x) = 3 sin(4x + 2), is a sine function, so the period would be 2 pi divided by 4, our B value.

Related Question Answers

What is tangent function?

The tangent function, along with sine and cosine, is one of the three most common trigonometric functions. In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'.

Which trigonometric functions are even?

A function is said to be even if f(−x)=f(x) and odd if f(−x)=−f(x). Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions.

What does a cosine graph look like?

To graph the cosine function, we mark the angle along the horizontal x axis, and for each angle, we put the cosine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. It is the same shape as the cosine function but displaced to the left 90°.

How do you find the period in a function?

If the basic formula here is y=Asin(Bx+c)+D, where A is the amplitude, and D is the vertical shift, then the period can be found by 2pi/B = period. If you have the equation, you can find the period, if you have the period you can solve for B.

Is amplitude always positive?

The amplitude or peak amplitude of a wave or vibration is a measure of deviation from its central value. Amplitudes are always positive numbers (for example: 3.5, 1, 120) and are never negative (for example: -3.5, -1, -120).

Is Secant even or odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions.

What does a secant graph look like?

Secant graphs go on forever in vertical directions, so they cannot have a "height." 6. The maximum and minimum points, respectively, of y = cosx and of the "pieces" of y = secx are the same. The x-intercepts of y = cosx become asymptotes for y = secx.

What is the period of the tangent function?

Period and Amplitude of Basic Trig Functions

A	B
Period of y=sin x	2π
Period of y=cos x	2π
Period of y=tan x	π
Period of y=cot x	π