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

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

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

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

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

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

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

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

0.7599 = \sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 20})}^{2}}

0.7599 = \sqrt{1 - {(\frac{2 \cdot 65m²}{10m \cdot 20m})}^{2}}

0.7599 = \sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 20})}^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

cos ∠B = \sqrt{1 - {(\frac{2 \cdot 65m²}{10m \cdot 20m})}^{2}}

Next Step Prepare to Evaluate

∴

cos ∠B = \sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 20})}^{2}}

Next Step Evaluate

∴

cos ∠B = 0.759934207678533

LAST Step Rounding Answer

∴

cos ∠B = 0.7599

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

Variables

Functions

Cos B

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

Symbol: cos ∠B

Measurement: NAUnit: Unitless

Note: Value should be between -1.01 to 1.01.

Formulas to find Cos B

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 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 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 B using Area and Sides A and C of Triangle?

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

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

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

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

The formula of Cos B using Area and Sides A and C of Triangle is expressed as Cos B = sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side C of Triangle))^2). Here is an example- 0.759934 = sqrt(1-((2*65)/(10*20))^2).

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

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

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

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

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

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

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

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

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

Variable Name