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

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Cos C is the value of the trigonometric cosine function of the angle C of the triangle. Check FAQs

cos ∠C = - (\sqrt{1 - {(\frac{2 \cdot A}{S a \cdot S b})}^{2}})

cos ∠C - Cos C?A - Area of Triangle?S_a - Side A of Triangle?S_b - Side B of Triangle?

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

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

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

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

-0.3712 = - (\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 14})}^{2}})

-0.3712 = - (\sqrt{1 - {(\frac{2 \cdot 65m²}{10m \cdot 14m})}^{2}})

-0.3712 = - (\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 14})}^{2}})

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

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

FIRST Step Consider the formula

cos ∠C = - (\sqrt{1 - {(\frac{2 \cdot A}{S a \cdot S b})}^{2}})

Next Step Substitute values of Variables

∴

cos ∠C = - (\sqrt{1 - {(\frac{2 \cdot 65m²}{10m \cdot 14m})}^{2}})

Next Step Prepare to Evaluate

∴

cos ∠C = - (\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 14})}^{2}})

Next Step Evaluate

∴

cos ∠C = -0.371153744479045

LAST Step Rounding Answer

∴

cos ∠C = -0.3712

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

Variables

Functions

Cos C

Cos C is the value of the trigonometric cosine function of the angle C of the triangle.

Symbol: cos ∠C

Measurement: NAUnit: Unitless

Note: Value should be between -1.01 to 1.01.

Formulas to find Cos C

Area of Triangle

The Area of Triangle is the amount of region or space occupied by the Triangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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 = \frac{2 \cdot A}{S a \cdot S c}

Go Sin A using Area and Sides B and C of Triangle

sin A = \frac{2 \cdot A}{S b \cdot S c}

Go Sin C using Area and Sides A and B of Triangle

sin C = \frac{2 \cdot A}{S a \cdot S b}

Go Cosec A using Area and Sides B and C of Triangle

cosec ∠A = \frac{S b \cdot S c}{2 \cdot A}

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

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

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

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

What is the formula to find Cos C using Area and Sides A and B of Triangle?

The formula of Cos C using Area and Sides A and B of Triangle is expressed as Cos C = -(sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side B of Triangle))^2)). Here is an example- -0.371154 = -(sqrt(1-((2*65)/(10*14))^2)).

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

With Area of Triangle (A), Side A of Triangle (S_a) & Side B of Triangle (S_b) we can find Cos C using Area and Sides A and B of Triangle using the formula - Cos C = -(sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side B of Triangle))^2)). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

Other formulas in Trigonometric Ratios using Sides and Area of Triangle category

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

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

Variable Name