# What is CSC Trig?

Space and AstronomyCosecant (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^{–}^{1}x) = 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**

- Start with:sin a° = opposite/hypotenuse.
- sin a° = 18.88/30.
- Calculate 18.88/30:sin a° = 0.6293…
- Inverse Sine:a° = sin
^{−}^{1}(0.6293…) - 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.

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