Cos 2A Calculator

✖Cos A is the value of the trigonometric cosine function of the angle A.ⓘ Cos A			+10% -10%
✖Sin A is the value of the trigonometric sine function of the angle A.ⓘ Sin A			+10% -10%

✖Cos 2A is the value of the trigonometric cosine function of twice the given angle A.ⓘ Cos 2A

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Formula

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Cos 2A

Formula

`"cos 2A" = "cos A"^2-"sin A"^2`

Example

`"0.768"=("0.94")^2-("0.34")^2`

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Download Negative, Half, Double and Triple Angle Trigonometry Identities Formulas PDF

Cos 2A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cos 2A = Cos A^2-Sin A^2
cos 2A = cos A^2-sin A^2
This formula uses 3 Variables

Variables Used

Cos 2A - Cos 2A is the value of the trigonometric cosine function of twice the given angle A.
Cos A - Cos A is the value of the trigonometric cosine function of the angle A.
Sin A - Sin A is the value of the trigonometric sine function of the angle A.

STEP 1: Convert Input(s) to Base Unit

Cos A: 0.94 --> No Conversion Required
Sin A: 0.34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos 2A = cos A^2-sin A^2 --> 0.94^2-0.34^2

Evaluating ... ...

cos 2A = 0.768

STEP 3: Convert Result to Output's Unit

0.768 --> No Conversion Required

FINAL ANSWER

0.768 <-- Cos 2A

(Calculation completed in 00.004 seconds)

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Credits

Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 10+ Double Angle Trigonometry Identities Calculators

Cos 2A given Tan A

Go Cos 2A = (1-Tan A^2)/(1+Tan A^2)

Sin 2A given Tan A

Go Sin 2A = (2*Tan A)/(1+Tan A^2)

Tan 2A

Go Tan 2A = (2*Tan A)/(1-Tan A^2)

Sec 2A

Go Sec 2A = (Sec A^2)/(2-Sec A^2)

Cot 2A

Go Cot 2A = (Cot A^2-1)/(2*Cot A)

Cosec 2A

Go Cosec 2A = (Sec A*Cosec A)/2

Cos 2A

Go Cos 2A = Cos A^2-Sin A^2

Sin 2A

Go Sin 2A = 2*Sin A*Cos A

Cos 2A given Cos A

Go Cos 2A = (2*Cos A^2)-1

Cos 2A given Sin A

Go Cos 2A = 1-(2*Sin A^2)

Cos 2A Formula

Cos 2A = Cos A^2-Sin A^2
cos 2A = cos A^2-sin A^2

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 2A?

Cos 2A calculator uses Cos 2A = Cos A^2-Sin A^2 to calculate the Cos 2A, Cos 2A formula is defined as the value of the trigonometric cosine function of twice the given angle A. Cos 2A is denoted by cos 2A symbol.

How to calculate Cos 2A using this online calculator? To use this online calculator for Cos 2A, enter Cos A (cos A) & Sin A (sin A) and hit the calculate button. Here is how the Cos 2A calculation can be explained with given input values -> 0.768 = 0.94^2-0.34^2.

FAQ

What is Cos 2A?

Cos 2A formula is defined as the value of the trigonometric cosine function of twice the given angle A and is represented as cos 2A = cos A^2-sin A^2 or Cos 2A = Cos A^2-Sin A^2. Cos A is the value of the trigonometric cosine function of the angle A & Sin A is the value of the trigonometric sine function of the angle A.

How to calculate Cos 2A?

Cos 2A formula is defined as the value of the trigonometric cosine function of twice the given angle A is calculated using Cos 2A = Cos A^2-Sin A^2. To calculate Cos 2A, you need Cos A (cos A) & Sin A (sin A). With our tool, you need to enter the respective value for Cos A & Sin A 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 Cos 2A?

In this formula, Cos 2A uses Cos A & Sin A. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cos 2A = (2*Cos A^2)-1
Cos 2A = (1-Tan A^2)/(1+Tan A^2)
Cos 2A = 1-(2*Sin A^2)

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