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

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

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

cos_(A/2) - Cos (A/2)?s - Semiperimeter of Triangle?S_a - Side A of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?

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

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

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

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

0.971 = \sqrt{22 \cdot \frac{22 - 10}{14 \cdot 20}}

0.971 = \sqrt{22m \cdot \frac{22m - 10m}{14m \cdot 20m}}

0.971 = \sqrt{22 \cdot \frac{22 - 10}{14 \cdot 20}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

cos (A/2) = \sqrt{22m \cdot \frac{22m - 10m}{14m \cdot 20m}}

Next Step Prepare to Evaluate

∴

cos (A/2) = \sqrt{22 \cdot \frac{22 - 10}{14 \cdot 20}}

Next Step Evaluate

∴

cos (A/2) = 0.971008312455224

LAST Step Rounding Answer

∴

cos (A/2) = 0.971

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

Variables

Functions

Cos (A/2)

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

Symbol: cos_(A/2)

Measurement: NAUnit: Unitless

Note: Value should be between -1.01 to 1.01.

Formulas to find Cos (A/2)

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

Side A 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.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Triangle

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

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

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

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

Cos (A/2) using Sides and Semi-Perimeter of Triangle evaluator uses Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle)) to evaluate the Cos (A/2), The Cos (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of cos A/2 using semi-perimeter and all three sides of the triangle. Cos (A/2) is denoted by cos_(A/2) symbol.

How to evaluate Cos (A/2) using Sides and Semi-Perimeter of Triangle using this online evaluator? To use this online evaluator for Cos (A/2) using Sides and Semi-Perimeter of Triangle, enter Semiperimeter of Triangle (s), Side A of Triangle (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c) and hit the calculate button.

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

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

The formula of Cos (A/2) using Sides and Semi-Perimeter of Triangle is expressed as Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle)). Here is an example- 0.971008 = sqrt(22*(22-10)/(14*20)).

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

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

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

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

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

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

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

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