FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Adjacent Side of Angle Alpha given Tan Alpha Formula

GoAdjacent Side of Angle Alpha given Cos Alpha Formula

Fx Copy

LaTeX Copy

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 = \frac{S Opposite}{\tan (α)}

S_Adjacent - Adjacent Side of Angle Alpha?S_Opposite - Opposite Side of Angle Alpha?α - Angle Alpha of Trigonometry?

Adjacent Side of Angle Alpha given Tan Alpha Example

With values

With units

Only example

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

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

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

3.0142 = \frac{4}{\tan (53)}

3.0142m = \frac{4m}{\tan (53°)}

3.0142 = \frac{4}{\tan (53)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Trigonometry and Inverse Trigonometry » Category

Trigonometry » fx Adjacent Side of Angle Alpha given Tan Alpha

Adjacent Side of Angle Alpha given Tan Alpha Solution

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

FIRST Step Consider the formula

S Adjacent = \frac{S Opposite}{\tan (α)}

Next Step Substitute values of Variables

∴

S Adjacent = \frac{4m}{\tan (53°)}

Next Step Convert Units

∴

S Adjacent = \frac{4m}{\tan (0.925rad)}

Next Step Prepare to Evaluate

∴

S Adjacent = \frac{4}{\tan (0.925)}

Next Step Evaluate

∴

S Adjacent = 3.01421620041227m

LAST Step Rounding Answer

∴

S Adjacent = 3.0142m

Adjacent Side of Angle Alpha given Tan 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

Opposite Side of Angle Alpha

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

Symbol: S_Opposite

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Opposite 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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Adjacent Side of Angle Alpha

Go Adjacent Side of Angle Alpha given Cos Alpha

S Adjacent = S Hypotenuse \cdot \cos (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 Tan Alpha?

Adjacent Side of Angle Alpha given Tan Alpha evaluator uses Adjacent Side of Angle Alpha = Opposite Side of Angle Alpha/tan(Angle Alpha of Trigonometry) to evaluate the Adjacent Side of Angle Alpha, The Adjacent Side of Angle Alpha given Tan 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 tangent 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 Tan Alpha using this online evaluator? To use this online evaluator for Adjacent Side of Angle Alpha given Tan Alpha, enter Opposite Side of Angle Alpha (S_Opposite) & Angle Alpha of Trigonometry (α) and hit the calculate button.

FAQs on Adjacent Side of Angle Alpha given Tan Alpha

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

The formula of Adjacent Side of Angle Alpha given Tan Alpha is expressed as Adjacent Side of Angle Alpha = Opposite Side of Angle Alpha/tan(Angle Alpha of Trigonometry). Here is an example- 3.014216 = 4/tan(0.925024503556821).

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

With Opposite Side of Angle Alpha (S_Opposite) & Angle Alpha of Trigonometry (α) we can find Adjacent Side of Angle Alpha given Tan Alpha using the formula - Adjacent Side of Angle Alpha = Opposite Side of Angle Alpha/tan(Angle Alpha of Trigonometry). This formula also uses Tangent (tan) 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=Hypotenuse Side*cos(Angle Alpha of Trigonometry)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit