Cosec (C/2) using Sides and Semi-Perimeter of Triangle Calculator

✖The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.ⓘ Side A of Triangle [S_a]			+10% -10%
✖The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.ⓘ Side B of Triangle [S_b]			+10% -10%
✖The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.ⓘ Semiperimeter of Triangle [s]			+10% -10%

✖Cosec (C/2) is the value of the trigonometric cosecant function of half of the given angle C of the triangle.ⓘ Cosec (C/2) using Sides and Semi-Perimeter of Triangle [cosec_(C/2)]

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Cosec (C/2) using Sides and Semi-Perimeter of Triangle

Formula

`"cosec"_{"(C/2)"} = sqrt(("S"_{"a"}*"S"_{"b"})/(("s"-"S"_{"a"})*("s"-"S"_{"b"})))`

Example

`"1.207615"=sqrt(("10m"*"14m")/(("22m"-"10m")*("22m"-"14m")))`

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Cosec (C/2) using Sides and Semi-Perimeter of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cosec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)))
cosec_(C/2) = sqrt((S_a*S_b)/((s-S_a)*(s-S_b)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Cosec (C/2) - Cosec (C/2) is the value of the trigonometric cosecant function of half of the given angle C of the triangle.
Side A of Triangle - (Measured in Meter) - The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.
Side B of Triangle - (Measured in Meter) - The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.
Semiperimeter of Triangle - (Measured in Meter) - The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Semiperimeter of Triangle: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cosec_(C/2) = sqrt((S_a*S_b)/((s-S_a)*(s-S_b))) --> sqrt((10*14)/((22-10)*(22-14)))

Evaluating ... ...

cosec_(C/2) = 1.20761472884912

STEP 3: Convert Result to Output's Unit

1.20761472884912 --> No Conversion Required

FINAL ANSWER

1.20761472884912 ≈ 1.207615 <-- Cosec (C/2)

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Trigonometric Ratios of Half Angles using Sides of Triangles » Cosec (C/2) using Sides and Semi-Perimeter of Triangle

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< 18 Trigonometric Ratios of Half Angles using Sides of Triangles Calculators

Tan (A/2) using Sides and Semi-Perimeter of Triangle

Go Tan (A/2) = sqrt(((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)))

Tan (B/2) using Sides and Semi-Perimeter of Triangle

Go Tan (B/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle)))

Tan (C/2) using Sides and Semi-Perimeter of Triangle

Go Tan (C/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle)))

Cot (A/2) using Sides and Semi-Perimeter of Triangle

Go Cot A/2 = sqrt((Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle))/((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cot (B/2) using Sides and Semi-Perimeter of Triangle

Go Cot B/2 = sqrt((Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle))/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cot (C/2) using Sides and Semi-Perimeter of Triangle

Go Cot C/2 = sqrt((Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle))/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)))

Cosec (A/2) using Sides and Semi-Perimeter of Triangle

Go Cosec (A/2) = sqrt((Side B of Triangle*Side C of Triangle)/((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cosec (B/2) using Sides and Semi-Perimeter of Triangle

Go Cosec (B/2) = sqrt((Side A of Triangle*Side C of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cosec (C/2) using Sides and Semi-Perimeter of Triangle

Go Cosec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)))

Sin (A/2) using Sides and Semi-Perimeter of Triangle

Go Sin (A/2) = sqrt(((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Side B of Triangle*Side C of Triangle))

Sin (B/2) using Sides and Semi-Perimeter of Triangle

Go Sin (B/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Side A of Triangle*Side C of Triangle))

Sin (C/2) using Sides and Semi-Perimeter of Triangle

Go Sin (C/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))/(Side A of Triangle*Side B of Triangle))

Sec (A/2) using Sides and Semi-Perimeter of Triangle

Go Sec (A/2) = sqrt((Side B of Triangle*Side C of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)))

Sec (B/2) using Sides and Semi-Perimeter of Triangle

Go Sec (B/2) = sqrt((Side A of Triangle*Side C of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle)))

Sec (C/2) using Sides and Semi-Perimeter of Triangle

Go Sec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle)))

Cos (A/2) using Sides and Semi-Perimeter of Triangle

Go Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle))

Cos (B/2) using Sides and Semi-Perimeter of Triangle

Go Cos (B/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle)/(Side A of Triangle*Side C of Triangle))

Cos (C/2) using Sides and Semi-Perimeter of Triangle

Go Cos (C/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle)/(Side A of Triangle*Side B of Triangle))

Cosec (C/2) using Sides and Semi-Perimeter of Triangle Formula

What is a Triangle?

The Triangle is the type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

How to Calculate Cosec (C/2) using Sides and Semi-Perimeter of Triangle?

Cosec (C/2) using Sides and Semi-Perimeter of Triangle calculator uses Cosec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))) to calculate the Cosec (C/2), The Cosec (C/2) using Sides and Semi-Perimeter of Triangle formula is defined as the value of cosec C/2 using semi-perimeter and the sides A and B of the triangle. Cosec (C/2) is denoted by cosec_(C/2) symbol.

How to calculate Cosec (C/2) using Sides and Semi-Perimeter of Triangle using this online calculator? To use this online calculator for Cosec (C/2) using Sides and Semi-Perimeter of Triangle, enter Side A of Triangle (S_a), Side B of Triangle (S_b) & Semiperimeter of Triangle (s) and hit the calculate button. Here is how the Cosec (C/2) using Sides and Semi-Perimeter of Triangle calculation can be explained with given input values -> 1.207615 = sqrt((10*14)/((22-10)*(22-14))).

FAQ

What is Cosec (C/2) using Sides and Semi-Perimeter of Triangle?

The Cosec (C/2) using Sides and Semi-Perimeter of Triangle formula is defined as the value of cosec C/2 using semi-perimeter and the sides A and B of the triangle and is represented as cosec_(C/2) = sqrt((S_a*S_b)/((s-S_a)*(s-S_b))) or Cosec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))). The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A, The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B & The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.

How to calculate Cosec (C/2) using Sides and Semi-Perimeter of Triangle?

The Cosec (C/2) using Sides and Semi-Perimeter of Triangle formula is defined as the value of cosec C/2 using semi-perimeter and the sides A and B of the triangle is calculated using Cosec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))). To calculate Cosec (C/2) using Sides and Semi-Perimeter of Triangle, you need Side A of Triangle (S_a), Side B of Triangle (S_b) & Semiperimeter of Triangle (s). With our tool, you need to enter the respective value for Side A of Triangle, Side B of Triangle & Semiperimeter of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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