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Posted on April 27, 2022 (Updated on July 9, 2025)

What is CSC in terms of sin and cos?

Space & Navigation

tan x = sin x cos x . 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 .

Is CSC the same as cos?

The functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot).



Math2.org Math Tables:

sin(q) = opp/hyp csc(q) = 1/sin(q)
cos(q) = adj/hyp sec(q) = 1/cos(q)
tan(q) = sin(q)/cos(q) cot(q) = 1/tan(q)


Is CSC opposite of sin or cos?

The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).

How do you find csc from 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 csc stand for math?

cosecant

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.

What is the csc formula?

Based on the definitions, various simple relationships exist among the functions. For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A/cos A.

What is the csc function?

The cosecant function is the reciprocal of the trigonometric function sine. Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular.

What is csc used for?

A CSC is essentially a kiosk with a personal computer, a wireless connection and other equipment. Through computer and Internet access, the CSCs provide multimedia content related to e-governance, education, health, telemedicine, entertainment and other government and private services.

How long is csc valid for?

three years

Validity period of the CSC-certificate



CSC certification is valid for three years. Once certification is obtained, the certificate holder must ensure remaining compliance with the performance level stated by the Certification Body (CB) at the moment of issuing the certificate.

What is cos over sin?

For a right triangle with an angle θ : Sine Function: sin(θ) = Opposite / Hypotenuse. Cosine Function: cos(θ) = Adjacent / Hypotenuse.

What is csc the inverse of?

Arccosec. The inverse function of cosecant. Basic idea: In order to find csc–1 2, we ask “what angle has cosecant equal to 2?” The answer is 30°. As a result we say csc–1 2 = 30°. In radians this is csc–1 2 = π/6.

What’s the derivative of csc?

(Math | Calculus | Derivatives | Table Of)

sin x = cos x Proof csc x = -csc x cot x Proof
cos x = – sin x Proof sec x = sec x tan x Proof
tan x = sec2 x Proof cot x = – csc2 x Proof


How do you find the csc of an angle?

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 is the exact value of csc?

The exact value of csc(60) is 2√3 . Multiply 2√3 by √3√3 . Combine and simplify the denominator.

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