What are the key points of a cosine graph?
The values of cos x correspond to the x-values, so those key points are (angle, x-value) or (0,1), (π/2, 0), (π, -1), (3π/2, 0), (2π, 1).
Do cosecant graphs have amplitude?
SECANT AND COSECANT GRAPHS The cosecant function does not have an amplitude, the period is , and the phase shift is units to the right if or is units to the left if . In order to obtain a sketch of the graph of the cosecant function, you will make use of the sketch of the graph of sine function.
What is the csc function?
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 is csc equal to?
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 .
What are the 5 key points?
They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).
What is the amplitude of Cscx?
Trigonometry Examples Since the graph of the function csc c s c does not have a maximum or minimum value, there can be no value for the amplitude. Amplitude: None.
Do we have vertical asymptotes for cosecant?
There are only vertical asymptotes for secant and cosecant functions.
What are the properties of the graph of a cosecant function?
Cosecant Function : f(x) = csc (x) symmetry: since csc(-x) = – csc(x) then csc (x) is an odd function and its graph is symmetric with respect the origin.
How do you find the csc?
How do you find the value of csc?
Thus, the cosecant of angle α in a right triangle is equal to the length of the hypotenuse c divided by the opposite side a. To solve csc, simply enter the length of the hypotenuse and opposite side, then solve. This formula might look very similar to the formula to calculate sine.