Tan 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%
✖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.ⓘ Adjacent Side of Angle Alpha [S_Adjacent]			+10% -10%

✖Tan Alpha is the value of the trigonometric tangent function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its adjacent side.ⓘ Tan Alpha [tan α]

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Formula

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Tan Alpha

Formula

`"tan α" = "S"_{"Opposite"}/"S"_{"Adjacent"}`

Example

`"1.333333"="4m"/"3m"`

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Download Trigonometry Ratios, Reciprocal and Pythagorean Identities Formulas PDF

Tan Alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tan Alpha = Opposite Side of Angle Alpha/Adjacent Side of Angle Alpha
tan α = S_Opposite/S_Adjacent
This formula uses 3 Variables

Variables Used

Tan Alpha - Tan Alpha is the value of the trigonometric tangent function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its adjacent side.
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.
Adjacent Side of Angle Alpha - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Opposite Side of Angle Alpha: 4 Meter --> 4 Meter No Conversion Required
Adjacent Side of Angle Alpha: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tan α = S_Opposite/S_Adjacent --> 4/3

Evaluating ... ...

tan α = 1.33333333333333

STEP 3: Convert Result to Output's Unit

1.33333333333333 --> No Conversion Required

FINAL ANSWER

1.33333333333333 ≈ 1.333333 <-- Tan Alpha

(Calculation completed in 00.004 seconds)

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Credits

Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Swapneel Shah

Vidya Pratishthans College of Engineering (VPCOE), Baramati

Swapneel Shah has verified this Calculator and 5 more calculators!

< 12 Trigonometry Ratios Calculators

Opposite Side of Angle Alpha given Tan Alpha

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

Adjacent Side of Angle Alpha given Tan Alpha

Go Adjacent Side of Angle Alpha = Opposite 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

Tan Alpha Formula

Tan Alpha = Opposite Side of Angle Alpha/Adjacent Side of Angle Alpha
tan α = S_Opposite/S_Adjacent

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 Tan Alpha?

Tan Alpha calculator uses Tan Alpha = Opposite Side of Angle Alpha/Adjacent Side of Angle Alpha to calculate the Tan Alpha, Tan Alpha formula is defined as the value of the trigonometric tangent function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its adjacent side. Tan Alpha is denoted by tan α symbol.

How to calculate Tan Alpha using this online calculator? To use this online calculator for Tan Alpha, enter Opposite Side of Angle Alpha (S_Opposite) & Adjacent Side of Angle Alpha (S_Adjacent) and hit the calculate button. Here is how the Tan Alpha calculation can be explained with given input values -> 1.333333 = 4/3.

FAQ

What is Tan Alpha?

Tan Alpha formula is defined as the value of the trigonometric tangent function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its adjacent side and is represented as tan α = S_Opposite/S_Adjacent or Tan Alpha = Opposite Side of Angle Alpha/Adjacent 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 & 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.

How to calculate Tan Alpha?

Tan Alpha formula is defined as the value of the trigonometric tangent function of the non-right angle α, that is the ratio of the opposite side of a right triangle to its adjacent side is calculated using Tan Alpha = Opposite Side of Angle Alpha/Adjacent Side of Angle Alpha. To calculate Tan Alpha, you need Opposite Side of Angle Alpha (S_Opposite) & Adjacent Side of Angle Alpha (S_Adjacent). With our tool, you need to enter the respective value for Opposite Side of Angle Alpha & Adjacent Side of Angle Alpha 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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