sin(2x), cos(2x), cosec(2x), sec(2x), tan(x) and cot(x) are all possible functions.
2*Pi
It is the same period as cosine function which is 2 pi because sec x = 1/cos x
The period of the tangent function, tan(x), is π because the tangent function has a repeating pattern every π units. This is due to the nature of the tangent function, which has vertical asymptotes at intervals of π. As x increases by π, the tangent function repeats its values, resulting in a period of π for the function.
2
y = 3 sin x The period of this function is 2 pi.
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Sin cos sec cosec
You can invent any function, to make it periodic. Commonly used functions that are periodic include all the trigonometric functions such as sin and cos (period 2 x pi), tan (period pi). Also, when you work with complex numbers, the exponential function (period 2 x pi x i).
The period of the tangent function is PI. The period of y= tan(2x) is PI over the coefficient of x = PI/2
y = sin(-x)Amplitude = 1Period = 2 pi
The length of one complete repetition of the cycle in a graph is called the period. In the context of periodic functions, the period is the distance along the x-axis after which the function's values repeat. For example, in trigonometric functions like sine and cosine, the period is typically (2\pi).
The six basic trigonometric functions are applicable to almost all angles. The few exceptions are tan(pi/2 + n*pi) cosec(n*pi) sec(pi/2 + n*pi) cot(n*pi) where n is an integer. This is because the functions are undefined at these values.
The basic trigonometric functions have periods of pi or 2pi radians (180 or 360 degrees). But a key property of a trig function is that it can be made to have any periodicity.The basic trigonometric functions have periods of pi or 2pi radians (180 or 360 degrees). But a key property of a trig function is that it can be made to have any periodicity.The basic trigonometric functions have periods of pi or 2pi radians (180 or 360 degrees). But a key property of a trig function is that it can be made to have any periodicity.The basic trigonometric functions have periods of pi or 2pi radians (180 or 360 degrees). But a key property of a trig function is that it can be made to have any periodicity.
Same as any other function - but in the case of a definite integral, you can take advantage of the periodicity. For example, assuming that a certain function has a period of pi, and the value of the definite integral from zero to pi is 2, then the integral from zero to 2 x pi is 4.
The period of a trigonometric function represents the length of one complete cycle of the function's values before they start to repeat. For example, the sine and cosine functions both have a period of (2\pi), meaning their values repeat every (2\pi) radians. The period is crucial for understanding the function's behavior, frequency, and how it relates to real-world phenomena, such as sound waves and circular motion.
2*Pi
The period is 2*pi radians.