# Why is the secant function is an even function and the tangent and cosecant are odd functions?

I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things.

The secant function is even because it is the reciprocal of the cosine function, which is even.

The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.

### What are the trigonometric functions?

sine, cosine, tangent, cosecant, secant and cotangent. Read More

### Examples of trigonometric function?

Sine, Cosine, Tangent, Cosecant, Secant and Cotangent. Read More

### What are the six trigonometry function?

sine, cosine, tangent, cosecant, secant, cotangent. Read More

### What are the six trigonometric functions of special angles?

sine, cosine, tangent, cosecant, secant and cotangent. Read More

### What is the six trigo function of acute angle?

Sine, Cosine, Tangent, Cosecant, Secant, Cotangent. Read More

### What are the zeros in secant and cosecant functions?

The minimum value of the secant and cosecant is ' 1 '. There are no zeros. Read More

### What are functions in trigonometry?

The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent Read More

### What are the functions of trigonometry?

The six basic functions of trigonometry are the sine, cosine, tangent, cosecant, secant, and cotangent functions. Abbreviated sin, cos, tan, csc, sec, cot. Read More

### Is the inverse function of secant is the cosecant function?

No. The inverse of the secant is called the arc-secant. The relation between the secant and the cosecant is similar to the relation between the sine and the cosine - they are somehow related, but they are not inverse functions. The secant is the reciprocal of the cosine (sec x = 1 / cos x). The cosecant is the reciprocal of the sine (cos x = 1 / sin x). Read More

### What are the six trigonometric functions for 45 degrees?

Sine Cosine Tangent Secant Cosecant Cotangent Read More

### Why dont you have buttons for cotangent secant cosecant?

You don't have buttons for cotangent, secant, and cosecant because you don't need them. Just invert. Cotangent is 1 over tangent, secant is 1 over sine, and cosecant is 1 over cosine. Read More

### Which of the six trig functions have values greater than 1?

tangent, cotangent, secant, and cosecant can all be greater than 1 at certain angles Read More

### Is it possible to model everyday sounds and speech with trigonometric functions like sine cosine tangent cosecant secant or cotangent?

Yes, but only sine or cosine will suffice. Read More

### How do you solve tangent cosine tangent-cosine.?

It isn't clear what you want to solve for. To solve trigonometric equations, it often helps to convert other angular functions (tangent, cotangent, secant, cosecant) into the equivalent of sines and cosines. However, the details of course depend on the specific case. Read More

### What is trigonometry of reciprocal relation?

cosecant = 1/sine secant = 1/cosine cotangent = 1/tangent Read More

### Which trigonometric functions have asymptotes?

tangent, cosecants, secant, cotangent. Read More

### What are trigonometric functions in mathematics?

The basic ones are: sine, cosine, tangent, cosecant, secant, cotangent; Less common ones are: arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent; hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent; hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent. Read More

### How do you change cosecant 80 to secant?

secant of (A) = cosecant of (90- A) 'A' here is 80 degrees. Read More

### A ratio of the lengths of two sides of a right triangle?

Sine Cosine Tangent Cotangent Secant Cosecant Read More

### Where is the tangent secant angle on a circle?

The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended. Read More

### What are trigometric ratios?

Basically we have two. One is sine and the other is cosine Right from these two we can get tangent Reciprocal of sine is cosecant Reciprocal of cosine is secant Reciprocal of tangent is cotangent Read More

### What are the Names of all trigonometry functions?

The basic functions are sine, cosine, tangent, cosecant, secant and cotangent. In addition, there are their inverses, whose full names use the prefix "arc" [arcsine, arc cosine, etc] but are more often written as sin-1, cos-1 and so on. Read More

### What is reciprocal in trigonometry?

The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot). Read More

### What is the difference in algebra and calculus and trig?

Algebra is basically arithmetic with variable expressions, trigonometry comes after algebra because you need algebra to understand sine, cosine, tangent, as well as secant, cosecant, and cotangent. Read More

### If the value of a sine function is 0 then the co-secant function is undefined?

That's right. cosecant(x) = 1 / sine(x), so you would get a division by zero. Read More

### A secant tangent passes through the center of a circle?

Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle. Read More

### Examples of operations of functions in trigonometry?

Trigonometry includes 12 baisic functions. Sine, Cosine, and Tangent are the three most baisic. Each of those functions has a reciprocal. Cosine's reciprocal is Secant, Sine reciprocal is Cosecant, and Tangent's reciprocal is Cotangent. Each of those six functions has an inverse funcion called Inverse Sine, Cos etc... or Arcsine, Arcosine, Arcsecant, etc.... The shorthand for each function is sin, caos, tan, sec, csc, cot. The inverses have a -1 notation like sin-1. Read More

### What is the inverse sine function?

The inverse sine is the cosecant, otherwise known as "hypotenuse over opposite" or arcsine. The cosecant is often confused as being the inverse of the cosine, which, in reality, is the secant, otherwise known as "hypotenuse over adjacent" or arccosine. Read More

### How do you put in secant cotangent and cosecant on a calculator?

With most calculators, you cannot. Use the definitions:secant(x) = 1/cos(x) cotangent(x) = 1/tan(x), and cosecant(x) = sin(x) All three functions on the right will be available on a scientific calculator. Read More

### What are the six trigonometry functions of triangel?

Not so sure about a triangel! There are, in fact 12 trigonometric functions: sine, cosine, tangent; their reciprocals, cosecant, secant and cotangent; and the inverse functions for all six: arcsine, arccosine, arctangent, arccosecant, arcsecant and accotangent. The arc functions are often written with the power -1; that is, arcsin(y) = sin-1(y). Read More

### Can a line be tangent to one circle and a secant to the other in concentric circles?

Yes, it can as long as it is not the tangent line of the outermost circle. If it is tangent to any of the inner circles it will always cross the outer circles at two points--so it is their secant line--whereas the tangent of the outermost circle is secant to no circle because there are no more circles beyond that last one. Read More

### Difference between secant lines and tangent lines?

A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point. Read More

### What is the difference between a tangent and a secant?

They are different trigonometric ratios! Read More

### What is Secany squared times cotangent times cosine?

Assuming that "secany" is meant to be secant, the answer is cosecant. Read More

### What is the definition of secant-tangent angle?

The secant of an angle in a right triangle is the hypotenuse divided by the adjacent side. The tangent angle of a right triangle is the length of the opposite side divided by the length of the adjacent side. Read More

### How do you solve secant squared divided by tangent?

In trig, the secant squared divided by the tangent equals the hypotenuse squared divided by the product of the opposite and adjacent sides of the triangle. Details: secant = hypotenuse/adjacent (H/A) and tangent = opposite/adjacent (A/O); Then secant2/tangent = (H2/A2)/(O/A) = H2/A2 x A/O = H2/AO. Read More

### What is Secant Modulus?

The secant modulus is the total stress or strain on an object as described by a stress-strain graph. The tangent modulus is the marginal strain. Read More

### What are the similarities and differences between solving problems involving secant-secant segments and tangent-secant segments drawn to a circle from the same exterior point?

the difference is california kingz Read More

### What are the trigonometric functions and ratios?

In all there are [at least] 24 trigonometric functions and ratios. Half of these are circular and the other half are hyperbolic. Sine and Cosine are basic trigonometric funtions, abbreviated as sin and cos. Tangent is the third basic ratio defined as Sin/Cos. For each of these three, there is a corresponding reciprocal function: Sine -> Cosecant (cosec or csc) Cosine -> Secant (sec) Tangent -> Cotangent (cot). Each of the above six has an… Read More

### What is the difference between tangent and secant line?

The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points. Read More

### What are trigonometric functions?

Let's look at right triangles for a moment. In any right triangle, the hypotenuse is the side opposite the right angle. There exist three ratios (and their inverses) as regards the length of the sides of the right triangle. These are opposite/hypotenuse (called the sine function), adjacent/hypotenuse (called the cosine function), and opposite/adjacent (called the tangent function). The inverse of the sine is the cosecant, the inverse of the cosine is the secant, and the… Read More

### What are the functions of an acute angle of a right triangle?

Any function whose domain is between 0 and 90 (degrees) or between 0 and pi/2 (radians). For example, the positive square root, or 3 times the fourth power are possible functions. Then there are six basic trigonometric functions: sine, cosine, tangents, cosecant, secant and cotangent, and the hyperbolic functions: sinh, cosh, tanh etc. These, too, are not specific to acute angles of a right triangle but apply to any number. Read More

### What is the derivative of tangent?

the derivative of tangent dy/dx [ tan(u) ]= [sec^(2)u]u' this means that the derivative of tangent of u is secant squared u times the derivative of u. Read More

### What is the mathematic operation that undoes another mathematic operation?

An inverse operation undoes it's composite operation. For example, Addition and Subtraction are inverses of each other, as are Multiplication and Division, as are Exponentiation and Logarithms, as are Sine and ArcSine, Cosine and ArcCosine, Tangent and ArcTangent, Secant and ArcSecant, Cosecant and ArcCosecant, and Cotangent and ArcCotangent Read More

### How do you write tanx in terms of tan0.5x?

Tanx can be written as tan0.5x by dividing it by 2. tanx1/2=tan0.5x --- I doubt that you can, since the tangent of the whole angle is a function of the tangent of the half-angle and of the secant of the whole angle. Please see the link. Read More