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Adjacent Side of Angle Alpha given Cos Alpha Formula

GoAdjacent Side of Angle Alpha given Tan Alpha Formula

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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. Check FAQs

S Adjacent = S Hypotenuse \cdot \cos (α)

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

Adjacent Side of Angle Alpha given Cos Alpha Example

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Here is how the Adjacent Side of Angle Alpha given Cos Alpha equation looks like with Values.

Here is how the Adjacent Side of Angle Alpha given Cos Alpha equation looks like with Units.

Here is how the Adjacent Side of Angle Alpha given Cos Alpha equation looks like.

3.0091 = 5 \cdot \cos (53)

3.0091m = 5m \cdot \cos (53°)

3.0091 = 5 \cdot \cos (53)

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Adjacent Side of Angle Alpha given Cos Alpha Solution

Follow our step by step solution on how to calculate Adjacent Side of Angle Alpha given Cos Alpha?

FIRST Step Consider the formula

S Adjacent = S Hypotenuse \cdot \cos (α)

Next Step Substitute values of Variables

∴

S Adjacent = 5m \cdot \cos (53°)

Next Step Convert Units

∴

S Adjacent = 5m \cdot \cos (0.925rad)

Next Step Prepare to Evaluate

∴

S Adjacent = 5 \cdot \cos (0.925)

Next Step Evaluate

∴

S Adjacent = 3.00907511576094m

LAST Step Rounding Answer

∴

S Adjacent = 3.0091m

Adjacent Side of Angle Alpha given Cos Alpha Formula Elements

Variables

Functions

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

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

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 Adjacent Side of Angle Alpha

Go Adjacent Side of Angle Alpha given Tan Alpha

S Adjacent = \frac{S Opposite}{\tan (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 Adjacent Side of Angle Alpha given Cos Alpha?

Adjacent Side of Angle Alpha given Cos Alpha evaluator uses Adjacent Side of Angle Alpha = Hypotenuse Side*cos(Angle Alpha of Trigonometry) to evaluate the Adjacent Side of Angle Alpha, The Adjacent Side of Angle Alpha given Cos Alpha formula is defined as the length of the non-hypotenuse edge of a right triangle which is adjacent to the given non-right angle α, and calculated using the value of trigonometric cosine function of angle alpha of Trigonometry. Adjacent Side of Angle Alpha is denoted by S_Adjacent symbol.

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

FAQs on Adjacent Side of Angle Alpha given Cos Alpha

What is the formula to find Adjacent Side of Angle Alpha given Cos Alpha?

The formula of Adjacent Side of Angle Alpha given Cos Alpha is expressed as Adjacent Side of Angle Alpha = Hypotenuse Side*cos(Angle Alpha of Trigonometry). Here is an example- 3.009075 = 5*cos(0.925024503556821).

How to calculate Adjacent Side of Angle Alpha given Cos Alpha?

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

What are the other ways to Calculate Adjacent Side of Angle Alpha?

Here are the different ways to Calculate Adjacent Side of Angle Alpha-

Adjacent Side of Angle Alpha=Opposite Side of Angle Alpha/tan(Angle Alpha of Trigonometry)

Can the Adjacent Side of Angle Alpha given Cos Alpha be negative?

No, the Adjacent Side of Angle Alpha given Cos Alpha, measured in Length cannot be negative.

Which unit is used to measure Adjacent Side of Angle Alpha given Cos Alpha?

Adjacent Side of Angle Alpha 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 Adjacent Side of Angle Alpha given Cos Alpha can be measured.

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