The cosecant goes down to the top of the sine curve and up to the bottom of the sine curve. After using the asymptotes and reciprocal as guides to sketch the cosecant curve, you can erase those extra lines, leaving just y = csc x. The figure that follows shows what this function looks like all on its own.
How do you tell the difference between a csc and SEC graph?
From the graphs of the secant and cosecant functions, we see that secant is an even function (like cosine) and cosecant is an odd function (like sine). Also, the period of secant and cosecant are the same as the period of cosine and sine, which is 2 π 2pi 2π.
What is csc?
A CSC is essentially a kiosk with a personal computer, a wireless connection and other equipment. Through computer and Internet access, the CSCs provide multimedia content related to e-governance, education, health, telemedicine, entertainment and other government and private services.
What does cosecant function mean?
The cosecant function is the reciprocal of the trigonometric function sine. Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular.
What functions have period 2pi?
Since sin(2nπ + θ) = sin θ, cos(2nπ + θ) = cos θ, for all values of θ and n ϵ N. Therefore, sine and cosine functions are periodic functions. sin (2π + θ) = sin θ and cos(2π + θ) = cos θ for all values of θ. So sine and cosine function are periodic function with period 2π.
What is the formula for cosecant?
For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A/cos A.
What’s the difference between cosecant and secant?
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 .
Does sec have an amplitude?
Amplitude: Since the sec function does not have a maximum or minimum, there is not amplitude.
What are the properties of the graph of a cosecant function?
Cosecant Function : f(x) = csc (x)
Domain: all real numbers except k pi, k is an integer. symmetry: since csc(-x) = – csc(x) then csc (x) is an odd function and its graph is symmetric with respect the origin.
Do cosecant graphs have amplitude?
The sine and cosine functions will have an amplitude. However, the tangent, cotangent, secant, and cosecant functions do not have an amplitude because these functions do not have a maximum value nor a minimum value.
How do you find a cosecant period?
By definition, csc(x)=1sin(x) . Therefore, its period is the same as the period of sin(x) , that is, 2π .
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