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Opposite Side of Angle Alpha given Tan Alpha Formula

GoOpposite Side of Angle Alpha given Sin Alpha Formula

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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. Check FAQs

S Opposite = S Adjacent \cdot \tan (α)

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

Opposite Side of Angle Alpha given Tan Alpha Example

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

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

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

3.9811 = 3 \cdot \tan (53)

3.9811m = 3m \cdot \tan (53°)

3.9811 = 3 \cdot \tan (53)

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Opposite Side of Angle Alpha given Tan Alpha Solution

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

FIRST Step Consider the formula

S Opposite = S Adjacent \cdot \tan (α)

Next Step Substitute values of Variables

∴

S Opposite = 3m \cdot \tan (53°)

Next Step Convert Units

∴

S Opposite = 3m \cdot \tan (0.925rad)

Next Step Prepare to Evaluate

∴

S Opposite = 3 \cdot \tan (0.925)

Next Step Evaluate

∴

S Opposite = 3.98113446485979m

LAST Step Rounding Answer

∴

S Opposite = 3.9811m

Opposite Side of Angle Alpha given Tan Alpha Formula Elements

Variables

Functions

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

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

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 Opposite Side of Angle Alpha

Go Opposite Side of Angle Alpha given Sin Alpha

S Opposite = S Hypotenuse \cdot \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 Opposite Side of Angle Alpha given Tan Alpha?

Opposite Side of Angle Alpha given Tan Alpha evaluator uses Opposite Side of Angle Alpha = Adjacent Side of Angle Alpha*tan(Angle Alpha of Trigonometry) to evaluate the Opposite Side of Angle Alpha, The Opposite Side of Angle Alpha given Tan Alpha formula is defined as the length of the non-hypotenuse edge of a right triangle which is opposite to the given non-right angle α, and calculated using the value of trigonometric tangent function of angle alpha of Trigonometry. Opposite Side of Angle Alpha is denoted by S_Opposite symbol.

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

FAQs on Opposite Side of Angle Alpha given Tan Alpha

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

The formula of Opposite Side of Angle Alpha given Tan Alpha is expressed as Opposite Side of Angle Alpha = Adjacent Side of Angle Alpha*tan(Angle Alpha of Trigonometry). Here is an example- 3.981134 = 3*tan(0.925024503556821).

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

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

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

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

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

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

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

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

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

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