Cos A in Terms of Angle A/2 Calculator

✖Cos (A/2) is the value of the trigonometric cosine function of half of the given angle A.ⓘ Cos (A/2) [cos_(A/2)]			+10% -10%
✖Sin (A/2) is the value of the trigonometric sine function of half of the given angle A.ⓘ Sin (A/2) [sin_(A/2)]			+10% -10%

✖Cos A is the value of the trigonometric cosine function of the angle A.ⓘ Cos A in Terms of Angle A/2

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Formula

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Cos A in Terms of Angle A/2

Formula

`"cos A" = "cos"_{"(A/2)"}^2-"sin"_{"(A/2)"}^2`

Example

`"0.9512"=("0.99")^2-("0.17")^2`

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Cos A in Terms of Angle A/2 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cos A = Cos (A/2)^2-Sin (A/2)^2
cos A = cos_(A/2)^2-sin_(A/2)^2
This formula uses 3 Variables

Variables Used

Cos A - Cos A is the value of the trigonometric cosine function of the angle A.
Cos (A/2) - Cos (A/2) is the value of the trigonometric cosine function of half of the given angle A.
Sin (A/2) - Sin (A/2) is the value of the trigonometric sine function of half of the given angle A.

STEP 1: Convert Input(s) to Base Unit

Cos (A/2): 0.99 --> No Conversion Required
Sin (A/2): 0.17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos A = cos_(A/2)^2-sin_(A/2)^2 --> 0.99^2-0.17^2

Evaluating ... ...

cos A = 0.9512

STEP 3: Convert Result to Output's Unit

0.9512 --> No Conversion Required

FINAL ANSWER

0.9512 <-- Cos A

(Calculation completed in 00.004 seconds)

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< 8 Trigonometric Ratios of A in Terms of Trigonometric Ratios of A/2 Calculators

Cos A in Terms of Tan A/2

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

Sin A in Terms of Tan A/2

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

Cot A in Terms of Cot A/2

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

Tan A in Terms of Tan A/2

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

Cos A in Terms of Angle A/2

Go Cos A = Cos (A/2)^2-Sin (A/2)^2

Sin A in Terms of Angle A/2

Go Sin A = 2*Sin (A/2)*Cos (A/2)

Cos A in Terms of Cos A/2

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

Cos A in Terms of Sin A/2

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

Cos A in Terms of Angle A/2 Formula

Cos A = Cos (A/2)^2-Sin (A/2)^2
cos A = cos_(A/2)^2-sin_(A/2)^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 A in Terms of Angle A/2?

Cos A in Terms of Angle A/2 calculator uses Cos A = Cos (A/2)^2-Sin (A/2)^2 to calculate the Cos A, The Cos A in Terms of Angle A/2 formula is defined as the value of the trigonometric cosine function of the given angle A in terms of A/2. Cos A is denoted by cos A symbol.

How to calculate Cos A in Terms of Angle A/2 using this online calculator? To use this online calculator for Cos A in Terms of Angle A/2, enter Cos (A/2) (cos_(A/2)) & Sin (A/2) (sin_(A/2)) and hit the calculate button. Here is how the Cos A in Terms of Angle A/2 calculation can be explained with given input values -> 0.9512 = 0.99^2-0.17^2.

FAQ

What is Cos A in Terms of Angle A/2?

The Cos A in Terms of Angle A/2 formula is defined as the value of the trigonometric cosine function of the given angle A in terms of A/2 and is represented as cos A = cos_(A/2)^2-sin_(A/2)^2 or Cos A = Cos (A/2)^2-Sin (A/2)^2. Cos (A/2) is the value of the trigonometric cosine function of half of the given angle A & Sin (A/2) is the value of the trigonometric sine function of half of the given angle A.

How to calculate Cos A in Terms of Angle A/2?

The Cos A in Terms of Angle A/2 formula is defined as the value of the trigonometric cosine function of the given angle A in terms of A/2 is calculated using Cos A = Cos (A/2)^2-Sin (A/2)^2. To calculate Cos A in Terms of Angle A/2, you need Cos (A/2) (cos_(A/2)) & Sin (A/2) (sin_(A/2)). With our tool, you need to enter the respective value for Cos (A/2) & Sin (A/2) 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 A?

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

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

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