What is the graph of cosecant?
What is the graph of cosecant?
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.
What’s the difference between Secant and Cosecant?
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 is the graph of secant?
The secant graph has vertical asymptotes at each value of x where the cosine graph crosses the x-axis – this is because the inverse of 0 is undefined. We show these in the graph below with dashed vertical lines, but will not show all the asymptotes explicitly on all later graphs involving the secant and cosecant.
How do you write secant?
Secant (sec) – Trigonometry function (See also Secant of a circle). In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just ‘sec’.
What is cosecant equal to?
The cosecant is equal to the hypotenuse/opposite of a right triangle. It is the reciprocal (or multiplicative inverse) of the sine.
What is the formula for SEC?
The length of the hypotenuse, when divided by the length of the adjacent side, becomes the secant of an angle in a right triangle. It is written as Sec, and the formula for secant is: Sec X = \\(\\frac{Hypotenuse}{Adjacent Side}\\)
What is the graph of SEC?
You can graph a secant function f(x) = sec x by using steps similar to those for tangent and cotangent. As with tangent and cotangent, the graph of secant has asymptotes. at two places, so the secant graph has two asymptotes, which divide the period interval into three smaller sections.