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

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Cosec (A/2) is the value of the trigonometric cosecant function of half of the given angle A of the triangle. Check FAQs

cosec (A/2) = \sqrt{\frac{S b \cdot S c}{(s - S b) \cdot (s - S c)}}

cosec_(A/2) - Cosec (A/2)?S_b - Side B of Triangle?S_c - Side C of Triangle?s - Semiperimeter of Triangle?

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

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Here is how the Cosec (A/2) using Sides and Semi-Perimeter of Triangle equation looks like with Values.

Here is how the Cosec (A/2) using Sides and Semi-Perimeter of Triangle equation looks like with Units.

Here is how the Cosec (A/2) using Sides and Semi-Perimeter of Triangle equation looks like.

4.1833 = \sqrt{\frac{14 \cdot 20}{(22 - 14) \cdot (22 - 20)}}

4.1833 = \sqrt{\frac{14m \cdot 20m}{(22m - 14m) \cdot (22m - 20m)}}

4.1833 = \sqrt{\frac{14 \cdot 20}{(22 - 14) \cdot (22 - 20)}}

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

Follow our step by step solution on how to calculate Cosec (A/2) using Sides and Semi-Perimeter of Triangle?

FIRST Step Consider the formula

cosec (A/2) = \sqrt{\frac{S b \cdot S c}{(s - S b) \cdot (s - S c)}}

Next Step Substitute values of Variables

∴

cosec (A/2) = \sqrt{\frac{14m \cdot 20m}{(22m - 14m) \cdot (22m - 20m)}}

Next Step Prepare to Evaluate

∴

cosec (A/2) = \sqrt{\frac{14 \cdot 20}{(22 - 14) \cdot (22 - 20)}}

Next Step Evaluate

∴

cosec (A/2) = 4.18330013267038

LAST Step Rounding Answer

∴

cosec (A/2) = 4.1833

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

Variables

Functions

Cosec (A/2)

Cosec (A/2) is the value of the trigonometric cosecant function of half of the given angle A of the triangle.

Symbol: cosec_(A/2)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Cosec (A/2)

Side B 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.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Triangle

Side C of Triangle

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.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Triangle

Semiperimeter of Triangle

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.

Symbol: s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semiperimeter of Triangle

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.

Syntax: sqrt(Number)

Other formulas in Trigonometric Ratios of Half Angles using Sides of Triangles category

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

sin (A/2) = \sqrt{\frac{(s - S b) \cdot (s - S c)}{S b \cdot S c}}

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

sin (B/2) = \sqrt{\frac{(s - S a) \cdot (s - S c)}{S a \cdot S c}}

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

sin (C/2) = \sqrt{\frac{(s - S a) \cdot (s - S b)}{S a \cdot S b}}

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

cos (A/2) = \sqrt{s \cdot \frac{s - S a}{S b \cdot S c}}

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

Cosec (A/2) using Sides and Semi-Perimeter of Triangle evaluator 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 evaluate 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 evaluate Cosec (A/2) using Sides and Semi-Perimeter of Triangle using this online evaluator? To use this online evaluator 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.

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

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

The formula of Cosec (A/2) using Sides and Semi-Perimeter of Triangle is expressed as 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))). Here is an example- 4.1833 = sqrt((14*20)/((22-14)*(22-20))).

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

With Side B of Triangle (S_b), Side C of Triangle (S_c) & Semiperimeter of Triangle (s) we can find Cosec (A/2) using Sides and Semi-Perimeter of Triangle using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

Other formulas in Trigonometric Ratios of Half Angles using Sides of Triangles category

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

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

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