Cos Alpha Calculator

✖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%
✖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%

✖Cos Alpha is the value of the trigonometric cosine function of the non-right angle α, that is the ratio of the adjacent side of a right triangle to its hypotenuse.ⓘ Cos Alpha [cos α]

⎘ Copy

👎

Formula

✖

Cos Alpha

Formula

`"cos α" = "S"_{"Adjacent"}/"S"_{"Hypotenuse"}`

Example

`"0.6"="3m"/"5m"`

Calculator

LaTeX

Reset

👍

Download Trigonometry Ratios, Reciprocal and Pythagorean Identities Formulas PDF PDF Image

Cos Alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cos Alpha = Adjacent Side of Angle Alpha/Hypotenuse Side
cos α = S_Adjacent/S_Hypotenuse
This formula uses 3 Variables

Variables Used

Cos Alpha - Cos Alpha is the value of the trigonometric cosine function of the non-right angle α, that is the ratio of the adjacent side of a right triangle to its hypotenuse.
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.
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

Adjacent Side of Angle Alpha: 3 Meter --> 3 Meter No Conversion Required
Hypotenuse Side: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos α = S_Adjacent/S_Hypotenuse --> 3/5

Evaluating ... ...

cos α = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Cos Alpha

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Trigonometry and Inverse Trigonometry » Trigonometry » Trigonometry Ratios, Reciprocal and Pythagorean Identities » Trigonometry Ratios » Cos Alpha

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

Cos Alpha Formula

Cos Alpha = Adjacent Side of Angle Alpha/Hypotenuse Side
cos α = S_Adjacent/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 Cos Alpha?

Cos Alpha calculator uses Cos Alpha = Adjacent Side of Angle Alpha/Hypotenuse Side to calculate the Cos Alpha, The Cos Alpha formula is defined as the value of the trigonometric cosine function of the non-right angle α, that is the ratio of the adjacent side of a right triangle to its hypotenuse. Cos Alpha is denoted by cos α symbol.

How to calculate Cos Alpha using this online calculator? To use this online calculator for Cos Alpha, enter Adjacent Side of Angle Alpha (S_Adjacent) & Hypotenuse Side (S_Hypotenuse) and hit the calculate button. Here is how the Cos Alpha calculation can be explained with given input values -> 0.6 = 3/5.

FAQ

What is Cos Alpha?

The Cos Alpha formula is defined as the value of the trigonometric cosine function of the non-right angle α, that is the ratio of the adjacent side of a right triangle to its hypotenuse and is represented as cos α = S_Adjacent/S_Hypotenuse or Cos Alpha = Adjacent Side of Angle Alpha/Hypotenuse Side. 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 & 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 Cos Alpha?

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

Home

FREE PDFs

🔍 Search