Cos A using Area and Sides B and C of Triangle Formula

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Cos A is the value of the trigonometric cosine function of the angle A of the triangle. Check FAQs
cos ∠A=1-(2ASbSc)2
cos ∠A - Cos A?A - Area of Triangle?Sb - Side B of Triangle?Sc - Side C of Triangle?

Cos A using Area and Sides B and C of Triangle Example

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With units
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Here is how the Cos A using Area and Sides B and C of Triangle equation looks like with Values.

Here is how the Cos A using Area and Sides B and C of Triangle equation looks like with Units.

Here is how the Cos A using Area and Sides B and C of Triangle equation looks like.

0.8857Edit=1-(265Edit14Edit20Edit)2
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Cos A using Area and Sides B and C of Triangle Solution

Follow our step by step solution on how to calculate Cos A using Area and Sides B and C of Triangle?

FIRST Step Consider the formula
cos ∠A=1-(2ASbSc)2
Next Step Substitute values of Variables
cos ∠A=1-(26514m20m)2
Next Step Prepare to Evaluate
cos ∠A=1-(2651420)2
Next Step Evaluate
cos ∠A=0.88568548340266
LAST Step Rounding Answer
cos ∠A=0.8857

Cos A using Area and Sides B and C of Triangle Formula Elements

Variables
Functions
Cos A
Cos A is the value of the trigonometric cosine function of the angle A of the triangle.
Symbol: cos ∠A
Measurement: NAUnit: Unitless
Note: Value should be between -1.01 to 1.01.
Area of Triangle
The Area of Triangle is the amount of region or space occupied by the Triangle.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
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: Sb
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 using Sides and Area of Triangle category

​Go Sin B using Area and Sides A and C of Triangle
sin B=2ASaSc
​Go Sin A using Area and Sides B and C of Triangle
sin A=2ASbSc
​Go Sin C using Area and Sides A and B of Triangle
sin C=2ASaSb
​Go Cosec A using Area and Sides B and C of Triangle
cosec ∠A=SbSc2A

How to Evaluate Cos A using Area and Sides B and C of Triangle?

Cos A using Area and Sides B and C of Triangle evaluator uses Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2) to evaluate the Cos A, The Cos A using Area and Sides B and C of Triangle formula is defined as value of cos A using area and the sides B and C of the triangle. Cos A is denoted by cos ∠A symbol.

How to evaluate Cos A using Area and Sides B and C of Triangle using this online evaluator? To use this online evaluator for Cos A using Area and Sides B and C of Triangle, enter Area of Triangle (A), Side B of Triangle (Sb) & Side C of Triangle (Sc) and hit the calculate button.

FAQs on Cos A using Area and Sides B and C of Triangle

What is the formula to find Cos A using Area and Sides B and C of Triangle?
The formula of Cos A using Area and Sides B and C of Triangle is expressed as Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2). Here is an example- 0.885685 = sqrt(1-((2*65)/(14*20))^2).
How to calculate Cos A using Area and Sides B and C of Triangle?
With Area of Triangle (A), Side B of Triangle (Sb) & Side C of Triangle (Sc) we can find Cos A using Area and Sides B and C of Triangle using the formula - Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2). This formula also uses Square Root (sqrt) function(s).
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