Sin Alpha Calculator

✖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 [S_Opposite]			+10% -10%
✖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%

✖Sin Alpha is the value of the trigonometric sine function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its hypotenuse.ⓘ Sin Alpha [sin α]

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Formula

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Sin Alpha

Formula

`"sin α" = "S"_{"Opposite"}/"S"_{"Hypotenuse"}`

Example

`"0.8"="4m"/"5m"`

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Sin Alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side
sin α = S_Opposite/S_Hypotenuse
This formula uses 3 Variables

Variables Used

Sin Alpha - Sin Alpha is the value of the trigonometric sine function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its hypotenuse.
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).

STEP 1: Convert Input(s) to Base Unit

Opposite Side of Angle Alpha: 4 Meter --> 4 Meter No Conversion Required
Hypotenuse Side: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

sin α = S_Opposite/S_Hypotenuse --> 4/5

Evaluating ... ...

sin α = 0.8

STEP 3: Convert Result to Output's Unit

0.8 --> No Conversion Required

FINAL ANSWER

0.8 <-- Sin Alpha

(Calculation completed in 00.004 seconds)

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Credits

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!

Verified by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has verified this Calculator and 300+ more calculators!

< 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

Sin Alpha Formula

Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side
sin α = S_Opposite/S_Hypotenuse

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 Sin Alpha?

Sin Alpha calculator uses Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side to calculate the Sin Alpha, The Sin Alpha formula is defined as the value of the trigonometric sine function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its hypotenuse. Sin Alpha is denoted by sin α symbol.

How to calculate Sin Alpha using this online calculator? To use this online calculator for Sin Alpha, enter Opposite Side of Angle Alpha (S_Opposite) & Hypotenuse Side (S_Hypotenuse) and hit the calculate button. Here is how the Sin Alpha calculation can be explained with given input values -> 0.8 = 4/5.

FAQ

What is Sin Alpha?

The Sin Alpha formula is defined as the value of the trigonometric sine function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its hypotenuse and is represented as sin α = S_Opposite/S_Hypotenuse or Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side. 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 & 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).

How to calculate Sin Alpha?

The Sin Alpha formula is defined as the value of the trigonometric sine function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its hypotenuse is calculated using Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side. To calculate Sin Alpha, you need Opposite Side of Angle Alpha (S_Opposite) & Hypotenuse Side (S_Hypotenuse). With our tool, you need to enter the respective value for Opposite Side of Angle Alpha & Hypotenuse Side and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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