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

✖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 Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.ⓘ Side C of Triangle [S_c]			+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 (A/2) is the value of the trigonometric cosecant function of half of the given angle A of the triangle.ⓘ Cosec (A/2) using Sides and Semi-Perimeter of Triangle [cosec_(A/2)]

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

STEP 0: Pre-Calculation Summary

Formula Used

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_(A/2) = sqrt((S_b*S_c)/((s-S_b)*(s-S_c)))
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 (A/2) - Cosec (A/2) is the value of the trigonometric cosecant function of half of the given angle A of the triangle.
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.
Side C of Triangle - (Measured in Meter) - The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.
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 B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Semiperimeter of Triangle: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cosec_(A/2) = sqrt((S_b*S_c)/((s-S_b)*(s-S_c))) --> sqrt((14*20)/((22-14)*(22-20)))

Evaluating ... ...

cosec_(A/2) = 4.18330013267038

STEP 3: Convert Result to Output's Unit

4.18330013267038 --> No Conversion Required

FINAL ANSWER

4.18330013267038 ≈ 4.1833 <-- Cosec (A/2)

(Calculation completed in 00.005 seconds)

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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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< Trigonometric Ratios of Half Angles using Sides of Triangles Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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))

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

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

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

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

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

How to calculate Cosec (A/2) using Sides and Semi-Perimeter of Triangle using this online calculator? To use this online calculator for Cosec (A/2) using Sides and Semi-Perimeter of Triangle, enter Side B of Triangle (S_b), Side C of Triangle (S_c) & Semiperimeter of Triangle (s) and hit the calculate button. Here is how the Cosec (A/2) using Sides and Semi-Perimeter of Triangle calculation can be explained with given input values -> 4.1833 = sqrt((14*20)/((22-14)*(22-20))).

FAQ

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

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

The Cosec (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of cosecant A/2 using semi-perimeter and the sides B and C of the triangle is calculated using 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))). To calculate Cosec (A/2) using Sides and Semi-Perimeter of Triangle, you need Side B of Triangle (S_b), Side C of Triangle (S_c) & Semiperimeter of Triangle (s). With our tool, you need to enter the respective value for Side B of Triangle, Side C 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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