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Hypotenuse of Right Angle Triangle given Cos Alpha Formula

GoHypotenuse of Right Angle Triangle given Sin Alpha Formula

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The Hypotenuse Side of Right Angled Triangle is the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees). Check FAQs

S Hypotenuse = \frac{S Adjacent}{\cos (α)}

S_Hypotenuse - Hypotenuse Side?S_Adjacent - Adjacent Side of Angle Alpha?α - Angle Alpha of Trigonometry?

Hypotenuse of Right Angle Triangle given Cos Alpha Example

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Here is how the Hypotenuse of Right Angle Triangle given Cos Alpha equation looks like with Values.

Here is how the Hypotenuse of Right Angle Triangle given Cos Alpha equation looks like with Units.

Here is how the Hypotenuse of Right Angle Triangle given Cos Alpha equation looks like.

4.9849 = \frac{3}{\cos (53)}

4.9849m = \frac{3m}{\cos (53°)}

4.9849 = \frac{3}{\cos (53)}

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Hypotenuse of Right Angle Triangle given Cos Alpha Solution

Follow our step by step solution on how to calculate Hypotenuse of Right Angle Triangle given Cos Alpha?

FIRST Step Consider the formula

S Hypotenuse = \frac{S Adjacent}{\cos (α)}

Next Step Substitute values of Variables

∴

S Hypotenuse = \frac{3m}{\cos (53°)}

Next Step Convert Units

∴

S Hypotenuse = \frac{3m}{\cos (0.925rad)}

Next Step Prepare to Evaluate

∴

S Hypotenuse = \frac{3}{\cos (0.925)}

Next Step Evaluate

∴

S Hypotenuse = 4.9849204233663m

LAST Step Rounding Answer

∴

S Hypotenuse = 4.9849m

Hypotenuse of Right Angle Triangle given Cos Alpha Formula Elements

Variables

Functions

Hypotenuse Side

The Hypotenuse Side of Right Angled Triangle is the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees).

Symbol: S_Hypotenuse

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hypotenuse Side

Adjacent Side of Angle Alpha

Adjacent Side of Angle Alpha is the length of the non-hypotenuse edge of a right triangle which is adjacent to the given non-right angle α.

Symbol: S_Adjacent

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Adjacent Side of Angle Alpha

Angle Alpha of Trigonometry

Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle Alpha of Trigonometry

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Hypotenuse Side

Go Hypotenuse of Right Angle Triangle given Sin Alpha

S Hypotenuse = \frac{S Opposite}{\sin (α)}

Other formulas in Trigonometry Ratios category

Go Tan Alpha

tan α = \frac{S Opposite}{S Adjacent}

Go Cot Alpha

cot α = \frac{S Adjacent}{S Opposite}

Go Sin Alpha

sin α = \frac{S Opposite}{S Hypotenuse}

Go Cos Alpha

cos α = \frac{S Adjacent}{S Hypotenuse}

How to Evaluate Hypotenuse of Right Angle Triangle given Cos Alpha?

Hypotenuse of Right Angle Triangle given Cos Alpha evaluator uses Hypotenuse Side = Adjacent Side of Angle Alpha/cos(Angle Alpha of Trigonometry) to evaluate the Hypotenuse Side, The Hypotenuse of Right Angle Triangle given Cos Alpha formula is defined as the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees), and calculated using the value of trigonometric cosine function of angle alpha of Trigonometry. Hypotenuse Side is denoted by S_Hypotenuse symbol.

How to evaluate Hypotenuse of Right Angle Triangle given Cos Alpha using this online evaluator? To use this online evaluator for Hypotenuse of Right Angle Triangle given Cos Alpha, enter Adjacent Side of Angle Alpha (S_Adjacent) & Angle Alpha of Trigonometry (α) and hit the calculate button.

FAQs on Hypotenuse of Right Angle Triangle given Cos Alpha

What is the formula to find Hypotenuse of Right Angle Triangle given Cos Alpha?

The formula of Hypotenuse of Right Angle Triangle given Cos Alpha is expressed as Hypotenuse Side = Adjacent Side of Angle Alpha/cos(Angle Alpha of Trigonometry). Here is an example- 4.98492 = 3/cos(0.925024503556821).

How to calculate Hypotenuse of Right Angle Triangle given Cos Alpha?

With Adjacent Side of Angle Alpha (S_Adjacent) & Angle Alpha of Trigonometry (α) we can find Hypotenuse of Right Angle Triangle given Cos Alpha using the formula - Hypotenuse Side = Adjacent Side of Angle Alpha/cos(Angle Alpha of Trigonometry). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Hypotenuse Side?

Here are the different ways to Calculate Hypotenuse Side-

Hypotenuse Side=Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry)

Can the Hypotenuse of Right Angle Triangle given Cos Alpha be negative?

No, the Hypotenuse of Right Angle Triangle given Cos Alpha, measured in Length cannot be negative.

Which unit is used to measure Hypotenuse of Right Angle Triangle given Cos Alpha?

Hypotenuse of Right Angle Triangle given Cos Alpha is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hypotenuse of Right Angle Triangle given Cos Alpha can be measured.

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