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Opposite Side of Angle Alpha given Sin Alpha Formula

GoOpposite Side of Angle Alpha given Tan 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 Hypotenuse \cdot \sin (α)

S_Opposite - Opposite Side of Angle Alpha?S_Hypotenuse - Hypotenuse Side?α - Angle Alpha of Trigonometry?

Opposite Side of Angle Alpha given Sin Alpha Example

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

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

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

3.9932 = 5 \cdot \sin (53)

3.9932m = 5m \cdot \sin (53°)

3.9932 = 5 \cdot \sin (53)

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Opposite Side of Angle Alpha given Sin Alpha Solution

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

FIRST Step Consider the formula

S Opposite = S Hypotenuse \cdot \sin (α)

Next Step Substitute values of Variables

∴

S Opposite = 5m \cdot \sin (53°)

Next Step Convert Units

∴

S Opposite = 5m \cdot \sin (0.925rad)

Next Step Prepare to Evaluate

∴

S Opposite = 5 \cdot \sin (0.925)

Next Step Evaluate

∴

S Opposite = 3.99317755023594m

LAST Step Rounding Answer

∴

S Opposite = 3.9932m

Opposite Side of Angle Alpha given Sin 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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Opposite Side of Angle Alpha

Go Opposite Side of Angle Alpha given Tan Alpha

S Opposite = S Adjacent \cdot \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 Opposite Side of Angle Alpha given Sin Alpha?

Opposite Side of Angle Alpha given Sin Alpha evaluator uses Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry) to evaluate the Opposite Side of Angle Alpha, The Opposite Side of Angle Alpha given Sin 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 sine 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 Sin Alpha using this online evaluator? To use this online evaluator for Opposite Side of Angle Alpha given Sin Alpha, enter Hypotenuse Side (S_Hypotenuse) & Angle Alpha of Trigonometry (α) and hit the calculate button.

FAQs on Opposite Side of Angle Alpha given Sin Alpha

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

The formula of Opposite Side of Angle Alpha given Sin Alpha is expressed as Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry). Here is an example- 3.993178 = 5*sin(0.925024503556821).

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

With Hypotenuse Side (S_Hypotenuse) & Angle Alpha of Trigonometry (α) we can find Opposite Side of Angle Alpha given Sin Alpha using the formula - Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry). This formula also uses Sine (sin) 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=Adjacent Side of Angle Alpha*tan(Angle Alpha of Trigonometry)

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

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

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

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

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