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

What is CSC Trig?

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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’. csc. x.

What is csc equal to in trig?

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 Sin 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)
tan(q) = sin(q)/cos(q) cot(q) = 1/tan(q)

What is the formula for csc?

1/sin A

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 derivative of Cscx?

The differentiation of cosec x with respect to angle x is written as d(cosec x)/dx = (cosec x)’ = -cot x cosec x. Derivative of cosec x can be calculated using the derivative of sin x.

What is the inverse of csc?

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.



csc–1 cosec–1
Csc–1 Cosec–1
arccsc arccosec
Arccsc Arccosec


How do I get rid of cosecant?

Video quote: Equal negative 1/2. Well we think a negative over half okay that's that angle. And that angle which is well we know it's equal to pi off at square root of 3. Over 2 comma 1/2 that angle is PI over 6.

How do you find cosecant without a calculator?

Video quote: So using our reference triangles. We'll find an angle where cosecant theta equals square root 2 over 1 1 for 1 or 2 where sine theta equals 1 divided by square root. 2.

Is arc cosine the same as inverse cosine?

Arccosine, written as arccos or cos-1 (not to be confused with ), is the inverse cosine function. Cosine only has an inverse on a restricted domain, 0≤x≤π.

What does inverse cosine mean?

Definitions of inverse cosine. the inverse function of the cosine; the angle that has a cosine equal to a given number. synonyms: arc cosine, arccos, arccosine. type of: circular function, trigonometric function.

What is the inverse of cosine called?

The inverse of the cosine function is also called as “Arc Function” and is denoted as Arccos or Arccosine (acos).

Is arcsin the same as csc?

As nouns the difference between arcsine and cosecant



is that arcsine is (trigonometry) any of several single-valued or multivalued functions that are inverses of the sine function symbol: arcsin, sin–1 while cosecant is (trigonometry) in a right triangle, the reciprocal of the sine of an angle symbols: cosec, csc.

What is derivative of arcsin?

What is Derivative of arcsin? The derivative of arcsin x is 1/√1-x². It is written as d/dx(arcsin x) = 1/√1-x². This also can be written as d/dx(sin–1x) = 1/√1-x².

Is arcsine inverse sine?

Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range.

What is the difference between sine and arcsine?

Sine is a basic trigonometric function, and the arcsine is the inverse function of the sine.

What is sin2?

Sin 2 degrees is the value of sine trigonometric function for an angle equal to 2 degrees. The value of sin 2° is 0.0349 (approx).

How do you solve inverse sine?

Inverse Sine Function

  1. Start with:sin a° = opposite/hypotenuse.
  2. sin a° = 18.88/30.
  3. Calculate 18.88/30:sin a° = 0.6293…
  4. Inverse Sine:a° = sin−1(0.6293…)
  5. Use a calculator to find sin−1(0.6293… ):a° = 39.0° (to 1 decimal place)


How do you solve inverse trig functions?

Video quote: So using the unit circle or using the 30 60 90 reference triangle. You know that sine of 60. Is equal to the opposite side which is square root 3 divided by the hypotenuse 2..

What is inverse sine equal to?

The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle. Let’s say θ is the angle, then: sin θ = (Opposite side to θ/Hypotenuse)

How do you find inverse sine without a calculator?

Video quote: So that's 30 and will be 60. So that's one that's a root three and that's a two so the sine of PI over 6 is 1 over 2 and of course it's a ratio. And similarly for cosine we input an angle.

What is the sin inverse of 1 2?

The exact value of arcsin(12) arcsin ( 1 2 ) is π6 . The sine function is positive in the first and second quadrants.