What kind of function is secant?

What kind of function is secant?

The secant function is a trigonometric function, one of three reciprocal functions that we look at in these pages, the other two being the cosecant function and the cotangent function. A reciprocal function is one that is the reciprocal (or multiplicative inverse) of another function (see below).

Is secant even odd or neither?

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

What is the range of Secx?

The range of secx is (−∞,−1]∪[1,∞) .

What does SEC mean in math?

more In a right angled triangle, the secant of an angle is: The length of the hypotenuse divided by the length of the adjacent side. The abbreviation is sec.

Is secant odd or even?

Sine, cosine, secant, and cosecant have period 2π while tangent and cotangent have period π. Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions.

What is SEC angle?

In a right angled triangle, the secant of an angle is: The length of the hypotenuse divided by the length of the adjacent side. The abbreviation is sec. sec(θ) = hypotenuse / adjacent. It is not commonly used, and is equal to 1/cosine.

What is secant in trigonometry?

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’. Of the six possible trigonometric functions, secant, cotangent, and cosecant, are rarely used.

What is the graph of the secant and cosecant function?

From the definition of the secant and cosecant functions, we have sec ⁡ ( θ) = 1 cos ⁡ ( θ), csc ⁡ ( θ) = 1 sin ⁡ ( θ). . \\cos ( heta) = 0 cos(θ) = 0. From the graph of the cosine function we see that heta θ. The graph of the secant function is as follows: k k.

What is the inverse secant function?

The inverse secant function – arcsec. For every trigonometry function such as sec, there is an inverse function that works in reverse. These inverse functions have the same name but with ‘arc’ in front. So the inverse of sec is arcsec etc.

What is the graph of the secant function with vertical asymptotes?

sec ⁡ ( θ) = 1 cos ⁡ ( θ), csc ⁡ ( θ) = 1 sin ⁡ ( θ). . \\cos ( heta) = 0 cos(θ) = 0. From the graph of the cosine function we see that heta θ. The graph of the secant function is as follows: k k. Therefore, the cosecant function has vertical asymptotes at these values of heta θ.