Quick Answer: What Is Cosec Equal To?

Is inverse sin the same as CSC?

Inverse Reciprocal Trigonometric Functions We already know that the cosecant function is the reciprocal of the sine function.

This will be used to derive the reciprocal of the inverse sine function.

Because cosecant and secant are inverses, \begin{align*}\sin^{-1} \frac{1}{x} = \csc^{-1} x\end{align*} is also true..

What are the 6 reciprocal identities?

Terms in this set (6)sin. 1/csc.cos. 1/sec.tan. 1/cot.cot. 1/tan.sec. 1/cos.csc. 1/sin.

What is a Cosecant line?

The cosecant as a line segment of the unit circle. Like the other trigonometric functions, the cosecant can be represented as a line segment associated with the unit circle. The diagram shows the cosecant for an angle of rotation θ of forty-five degrees (measured anti-clockwise from the positive x-axis).

What is 1 sin called?

Other Names. Sometimes sin-1 is called asin or arcsin. Likewise cos-1 is called acos or arccos. And tan-1 is called atan or arctan.

Why Sine is called sine?

In mathematics, the sine is a trigonometric function of an angle. … The word “sine” (Latin “sinus”) comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

Why do we use trigonometry?

It is used in oceanography in calculating the height of tides in oceans. The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves. Calculus is made up of Trigonometry and Algebra. … Also trigonometry has its applications in satellite systems.

What is cot on a calculator?

COT(x) returns the cotangent of x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function. The cotangent is the reciprocal of the tangent: ⁡ ( x ) = 1 tan ⁡

What is sin 1 used for?

The inverse trigonometric functions sin−1(x) , cos−1(x) , and tan−1(x) , are used to find the unknown measure of an angle of a right triangle when two side lengths are known.

What is the reciprocal of sin?

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.

How do you convert Tan to sin?

Start with the ratio identity involving sine, cosine, and tangent, and multiply each side by cosine to get the sine alone on the left. Replace cosine with its reciprocal function. Solve the Pythagorean identity tan2θ + 1 = sec2θ for secant. Replace the secant in the sine equation.

What is Cosecant abbreviation?

cscThe abbreviation of cosecant is csc or cosec. The cotangent function is the reciprocal of the tangent function. The abbreviation of cotangent is cot.

What does cot mean in trigonometry?

In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. In a formula, it is abbreviated to just ‘cot’.

How do you find Cosecant?

The cosecant of an angle in a right triangle is a relationship found by dividing the length of the hypotenuse by the length of the side opposite to the given angle. This is the reciprocal of the sine function.

What does sin 2x equal?

1. sin(2x)=2sin(x)cos(x).

Is sin 1 the same as 1 sin?

The notation sin-1(x) has been misunderstood to mean 1/sin(x). … So sin-1(x) means the inverse sine of x, that is, the function that undoes the sine function. It is not equal to 1/sin(x).

Is Cosec the same as CSC?

Cosecant (csc) – Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just ‘csc’. Of the six possible trigonometric functions, cosecant, cotangent, and secant, are rarely used.

Is cot the inverse of tan?

cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse. arctan(x) is the angle whose tangent is x.

What is a Cosec?

In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite. It is not commonly used, and is equal to 1/sine.

Is CSC a sin?

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 does B mean in trigonometry?

for becomingB is for becoming (the period) in a trig equation The multiplier B affects the length of the graph’s period, or how far it goes along the x-axis. The sine, cosine, cosecant, and secant all normally have a period of 2π. The tangent and cotangent have a period of π.