What is cot SEC and csc?

Csc sec cot are the three trigonometric functions cosecant, secant, and cotangent respectively. These functions are also called the reciprocal trigonometric functions as they are the reciprocals of the sine function, cosine function, and tangent function

tangent function

Tan(a + b) is one of the important trigonometric identities, also known as tangent addition formulas, used in trigonometry to find the value of the tangent trigonometric function for the sum of angles.

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Tan (a + b) - Formula, Proof, Examples - Cuemath

, respectively.

How do you find cot sec and csc?

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . 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 difference between sec and csc?

The three functions that we are talking about today are defined as the reciprocals of our basic three functions. So, we have cosecant (csc) is the reciprocal of sine or 1/sine, secant (sec) is the reciprocal of cosine or 1/cosine, and cotangent (cot) is the reciprocal of the tangent function or 1/tangent.

What is cot equal to?

In trigonometry, cot or cotangent is one of six trigonometric ratios. In a right-angled triangle, cot of an angle is equal to the ratio of adjacent side and opposite side of angle. Cot x is also equal to the reciprocal of tan x.

What is csc math?

Trigonometry ratios are defined by representing the relationship between sides and angles of a right-angled triangle. Thus, the cosecant of an angle is the ratio of the length of the hypotenuse and length of the side opposite the angle. Cosecant is abbreviated as csc. csc θ = Hypotenuse / Side opposite to θ

Secant (sec), cosecant (csc) and cotangent (cot) example | Trigonometry | Khan Academy

What is the period of cot?

For y = cot (x), the period is equal to π. It means that one cycle of a cotangent graph occurs between 0 and π. The period of y = cot βx is equal to π/β.

What does cot stand for in math?

The short name for cotangent. It is the length of the adjacent side divided by the length of the side opposite the angle in a right-angled triangle. cot(θ) = adjacent / opposite.

What are the 12 trig functions?

The historical answer: At least 12

These are versine, haversine, coversine, hacoversine, exsecant, and excosecant. All of these can be expressed simply in terms of more familiar trig functions. For example, versine(θ) = 2 sin²(θ/2) = 1 – cos(θ) and exsecant(θ) = sec(θ) – 1.

What is the value of sec?

The value of Sec 360 degrees is 1. Sec 360 degrees in radians is written as sec (360° × π/180°), i.e., sec (2π) or sec (6.283185. . .). In this article, we will discuss the methods to find the value of sec 360 degrees with examples. Sec 360°: 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.

What is sec formula?

Secant is one of the ratios that is derived from the cosine ratio. The secant formula helps in finding out the hypotenuse, the length, and the adjacent side of a right-angled triangle. The formula is sec ⁡θ = H/B.

How is csc calculated?

Cosecant Formula

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.

What is the csc of 30?

Trigonometry Examples

The exact value of csc(30°) csc ( 30 ° ) is 2 .

What is the csc of 60?

The exact value of csc(60°) csc ( 60 ° ) is 2√3 .

What does cosec mean?

cosecant in British English

(kəʊˈsiːkənt ) (of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the hypotenuse to that of the opposite side; the reciprocal of sine. Abbreviation: cosec. Collins English Dictionary.

What is the relation between cot and cosec?

The subtraction of the cot squared of angle from cosecant squared of angle is equal to one and it is called as the Pythagorean identity of cosecant and cotangent functions.

What is the period of sec and csc?

The period of both secant and cosecant is 2π like sine and cosine. There is no amplitude for secant and cosecant, but there is a vertical stretch that is used instead.

Is csc even or odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd.

How do you find the period of sec?

Trigonometry Examples

Since the graph of the function sec s e c does not have a maximum or minimum value, there can be no value for the amplitude. Find the period using the formula 2π|b| 2 π | b | . The period of the function can be calculated using 2π|b| 2 π | b | . Replace b b with 1 1 in the formula for period.

What is secant function?

The secant function is a periodic function in trigonometry. The secant function or sec function can be defined as the ratio of the length of the hypotenuse to that of the length of the base in a right-angled triangle. It is the reciprocal of cosine function and hence, is also written as sec x = 1 / cos x.

What is sec and cosec?

Secant (sec) is the reciprocal of cosine (cos) Cosecant (cosec) is the reciprocal of sin. Cotangent (cot) is the reciprocal of tan.

What is cot θ?

Cot theta of a right-angled triangle is equal to the ratio of the length of the opposite side to the length of the adjacent side. It is also equal to the ratio of the cosine of the angle and the sine of the angle.