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

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

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

sec ∠B - Sec B?A - Area of Triangle?S_a - Side A of Triangle?S_c - Side C of Triangle?

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

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

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

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

1.3159 = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 20})}^{2}}}

1.3159 = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65m²}{10m \cdot 20m})}^{2}}}

1.3159 = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 20})}^{2}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

sec ∠B = 1.31590338991954

LAST Step Rounding Answer

∴

sec ∠B = 1.3159

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

Variables

Functions

Sec B

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

Symbol: sec ∠B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sec 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 Sec B using Area and Sides A and C of Triangle?

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

How to evaluate Sec B using Area and Sides A and C of Triangle using this online evaluator? To use this online evaluator for Sec 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 Sec B using Area and Sides A and C of Triangle

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

The formula of Sec B using Area and Sides A and C of Triangle is expressed as Sec B = 1/sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side C of Triangle))^2). Here is an example- 1.315903 = 1/sqrt(1-((2*65)/(10*20))^2).

How to calculate Sec 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 Sec B using Area and Sides A and C of Triangle using the formula - Sec B = 1/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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Sec B using Area and Sides A and C of Triangle Formula

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

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

Sec 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 Sec B using Area and Sides A and C of Triangle?

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

Variable Name