Sec 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%
✖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%

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

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Formula

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Sec Alpha

Formula

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

Example

`"1.666667"="5m"/"3m"`

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Sec Alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Hypotenuse Side: 5 Meter --> 5 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

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

Evaluating ... ...

sec α = 1.66666666666667

STEP 3: Convert Result to Output's Unit

1.66666666666667 --> No Conversion Required

FINAL ANSWER

1.66666666666667 ≈ 1.666667 <-- Sec 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

Sec Alpha Formula

Sec Alpha = Hypotenuse Side/Adjacent Side of Angle Alpha
sec α = S_Hypotenuse/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 Sec Alpha?

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

How to calculate Sec Alpha using this online calculator? To use this online calculator for Sec Alpha, enter Hypotenuse Side (S_Hypotenuse) & Adjacent Side of Angle Alpha (S_Adjacent) and hit the calculate button. Here is how the Sec Alpha calculation can be explained with given input values -> 1.666667 = 5/3.

FAQ

What is Sec Alpha?

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

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