Opposite Side of Angle Alpha given Sin Alpha Calculator

✖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).ⓘ Hypotenuse Side [S_Hypotenuse]			+10% -10%
✖Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.ⓘ Angle Alpha of Trigonometry [α]			+10% -10%

✖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.ⓘ Opposite Side of Angle Alpha given Sin Alpha [S_Opposite]

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Formula

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Opposite Side of Angle Alpha given Sin Alpha

Formula

`"S"_{"Opposite"} = "S"_{"Hypotenuse"}*sin("α")`

Example

`"3.993178m"="5m"*sin("53°")`

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Opposite Side of Angle Alpha given Sin Alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry)
S_Opposite = S_Hypotenuse*sin(α)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sin(Angle)

Variables Used

Opposite Side of Angle Alpha - (Measured in Meter) - 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.
Hypotenuse Side - (Measured in Meter) - 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).
Angle Alpha of Trigonometry - (Measured in Radian) - Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.

STEP 1: Convert Input(s) to Base Unit

Hypotenuse Side: 5 Meter --> 5 Meter No Conversion Required
Angle Alpha of Trigonometry: 53 Degree --> 0.925024503556821 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Opposite = S_Hypotenuse*sin(α) --> 5*sin(0.925024503556821)

Evaluating ... ...

S_Opposite = 3.99317755023594

STEP 3: Convert Result to Output's Unit

3.99317755023594 Meter --> No Conversion Required

FINAL ANSWER

3.99317755023594 ≈ 3.993178 Meter <-- Opposite Side of Angle Alpha

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

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Mumbai University (DJSCE), Mumbai

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< 12 Trigonometry Ratios Calculators

Adjacent Side of Angle Alpha given Tan Alpha

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

Opposite Side of Angle Alpha given Tan Alpha

Go Opposite Side of Angle Alpha = Adjacent Side of Angle Alpha*tan(Angle Alpha of Trigonometry)

Hypotenuse of Right Angle Triangle given Cos Alpha

Go Hypotenuse Side = Adjacent Side of Angle Alpha/cos(Angle Alpha of Trigonometry)

Hypotenuse of Right Angle Triangle given Sin Alpha

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

Adjacent Side of Angle Alpha given Cos Alpha

Go Adjacent Side of Angle Alpha = Hypotenuse Side*cos(Angle Alpha of Trigonometry)

Opposite Side of Angle Alpha given Sin Alpha

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

Tan Alpha

Go Tan Alpha = Opposite Side of Angle Alpha/Adjacent Side of Angle Alpha

Cot Alpha

Go Cot Alpha = Adjacent Side of Angle Alpha/Opposite Side of Angle Alpha

Cosec Alpha

Go Cosec Alpha = Hypotenuse Side/Opposite Side of Angle Alpha

Sin Alpha

Go Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side

Cos Alpha

Go Cos Alpha = Adjacent Side of Angle Alpha/Hypotenuse Side

Sec Alpha

Go Sec Alpha = Hypotenuse Side/Adjacent Side of Angle Alpha

Opposite Side of Angle Alpha given Sin Alpha Formula

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

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study and describe properties such as lengths, angles, and areas of triangles, as well as the relationships between these properties and the properties of circles and other geometric shapes. Trigonometry is used in many fields, including physics, engineering, and navigation.

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

Opposite Side of Angle Alpha given Sin Alpha calculator uses Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry) to calculate 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 calculate Opposite Side of Angle Alpha given Sin Alpha using this online calculator? To use this online calculator for Opposite Side of Angle Alpha given Sin Alpha, enter Hypotenuse Side (S_Hypotenuse) & Angle Alpha of Trigonometry (α) and hit the calculate button. Here is how the Opposite Side of Angle Alpha given Sin Alpha calculation can be explained with given input values -> 3.993178 = 5*sin(0.925024503556821).

FAQ

What is Opposite Side of Angle Alpha given Sin 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 and is represented as S_Opposite = S_Hypotenuse*sin(α) or Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry). 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) & Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.

How to calculate Opposite Side of Angle Alpha given Sin 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 is calculated using Opposite Side of Angle Alpha = Hypotenuse Side*sin(Angle Alpha of Trigonometry). To calculate Opposite Side of Angle Alpha given Sin Alpha, you need Hypotenuse Side (S_Hypotenuse) & Angle Alpha of Trigonometry (α). With our tool, you need to enter the respective value for Hypotenuse Side & Angle Alpha of Trigonometry and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Opposite Side of Angle Alpha?

In this formula, Opposite Side of Angle Alpha uses Hypotenuse Side & Angle Alpha of Trigonometry. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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