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

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Sec C is the value of the trigonometric secant function of the angle A of the triangle. Check FAQs

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

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

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

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

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

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

-2.6943 = - \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 14})}^{2}}}

-2.6943 = - \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65m²}{10m \cdot 14m})}^{2}}}

-2.6943 = - \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{10 \cdot 14})}^{2}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

sec ∠C = -2.69430125621825

LAST Step Rounding Answer

∴

sec ∠C = -2.6943

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

Variables

Functions

Sec C

Sec C is the value of the trigonometric secant function of the angle A of the triangle.

Symbol: sec ∠C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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

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

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

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

The formula of Sec C using Area and Sides A and B of Triangle is expressed as Sec C = -1/(sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side B of Triangle))^2)). Here is an example- -2.694301 = -1/(sqrt(1-((2*65)/(10*14))^2)).

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

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

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

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

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

Variable Name