Tan (A+B+C) Calculator

✖Tan A is the value of the trigonometric tangent function of the angle A.ⓘ Tan A			+10% -10%
✖Tan B is the value of the trigonometric tangent function of the angle B.ⓘ Tan B			+10% -10%
✖Tan C is the value of the trigonometric tangent function of the angle C.ⓘ Tan C			+10% -10%

✖Tan (A+B+C) is the value of the trigonometric tangent function of the sum of three given angles, angle A, angle and angle C.ⓘ Tan (A+B+C) [tan_(A+B+C)]

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Formula

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Tan (A+B+C)

Formula

`"tan"_{"(A+B+C)"} = ("tan A"+"tan B"+"tan C"-("tan A"*"tan B"*"tan C"))/(1-("tan A"*"tan B")-("tan B"*"tan C")-("tan A"*"tan C"))`

Example

`"1.493213"=("0.36"+"0.58"+"0.11"-("0.36"*"0.58"*"0.11"))/(1-("0.36"*"0.58")-("0.58"*"0.11")-("0.36"*"0.11"))`

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Tan (A+B+C) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tan (A+B+C) = (Tan A+Tan B+Tan C-(Tan A*Tan B*Tan C))/(1-(Tan A*Tan B)-(Tan B*Tan C)-(Tan A*Tan C))
tan_(A+B+C) = (tan A+tan B+tan C-(tan A*tan B*tan C))/(1-(tan A*tan B)-(tan B*tan C)-(tan A*tan C))
This formula uses 4 Variables

Variables Used

Tan (A+B+C) - Tan (A+B+C) is the value of the trigonometric tangent function of the sum of three given angles, angle A, angle and angle C.
Tan A - Tan A is the value of the trigonometric tangent function of the angle A.
Tan B - Tan B is the value of the trigonometric tangent function of the angle B.
Tan C - Tan C is the value of the trigonometric tangent function of the angle C.

STEP 1: Convert Input(s) to Base Unit

Tan A: 0.36 --> No Conversion Required
Tan B: 0.58 --> No Conversion Required
Tan C: 0.11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tan_(A+B+C) = (tan A+tan B+tan C-(tan A*tan B*tan C))/(1-(tan A*tan B)-(tan B*tan C)-(tan A*tan C)) --> (0.36+0.58+0.11-(0.36*0.58*0.11))/(1-(0.36*0.58)-(0.58*0.11)-(0.36*0.11))

Evaluating ... ...

tan_(A+B+C) = 1.49321314335563

STEP 3: Convert Result to Output's Unit

1.49321314335563 --> No Conversion Required

FINAL ANSWER

1.49321314335563 ≈ 1.493213 <-- Tan (A+B+C)

(Calculation completed in 00.004 seconds)

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< 12 Sum & Difference Trigonometry Identities Calculators

Tan (A+B+C)

Go Tan (A+B+C) = (Tan A+Tan B+Tan C-(Tan A*Tan B*Tan C))/(1-(Tan A*Tan B)-(Tan B*Tan C)-(Tan A*Tan C))

Cot (A+B+C)

Go Cot (A+B+C) = ((Cot A*Cot B*Cot C)-Cot A-Cot B-Cot C)/((Cot A*Cot B)+(Cot B*Cot C)+(Cot A*Cot C))

Sin (A+B+C)

Go Sin (A+B+C) = (Sin A*Cos B*Cos C)+(Cos A*Sin B*Cos C)+(Cos A*Cos B*Sin C)-(Sin A*Sin B*Sin C)

Cos (A+B+C)

Go Cos (A+B+C) = (Cos A*Cos B*Cos C)-(Cos A*Sin B*Sin C)-(Sin A*Cos B*Sin C)-(Sin A*Sin B*Cos C)

Tan (A+B)

Go Tan (A+B) = (Tan A+Tan B)/(1-(Tan A*Tan B))

Tan (A-B)

Go Tan (A-B) = (Tan A-Tan B)/(1+(Tan A*Tan B))

Cot (A-B)

Go Cot (A-B) = ((Cot B*Cot A)+1)/(Cot B-Cot A)

Cot (A+B)

Go Cot (A+B) = ((Cot B*Cot A)-1)/(Cot B+Cot A)

Sin (A+B)

Go Sin (A+B) = (Sin A*Cos B)+(Cos A*Sin B)

Cos (A+B)

Go Cos (A+B) = (Cos A*Cos B)-(Sin A*Sin B)

Sin (A-B)

Go Sin (A-B) = (Sin A*Cos B)-(Cos A*Sin B)

Cos (A-B)

Go Cos (A-B) = (Cos A*Cos B)+(Sin A*Sin B)

Tan (A+B+C) Formula

Tan (A+B+C) = (Tan A+Tan B+Tan C-(Tan A*Tan B*Tan C))/(1-(Tan A*Tan B)-(Tan B*Tan C)-(Tan A*Tan C))
tan_(A+B+C) = (tan A+tan B+tan C-(tan A*tan B*tan C))/(1-(tan A*tan B)-(tan B*tan C)-(tan A*tan C))

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 (A+B+C)?

Tan (A+B+C) calculator uses Tan (A+B+C) = (Tan A+Tan B+Tan C-(Tan A*Tan B*Tan C))/(1-(Tan A*Tan B)-(Tan B*Tan C)-(Tan A*Tan C)) to calculate the Tan (A+B+C), The Tan (A+B+C) formula is defined as the value of the trigonometric tangent function of the sum of three given angles, angle A, angle B and angle C. Tan (A+B+C) is denoted by tan_(A+B+C) symbol.

How to calculate Tan (A+B+C) using this online calculator? To use this online calculator for Tan (A+B+C), enter Tan A (tan A), Tan B (tan B) & Tan C (tan C) and hit the calculate button. Here is how the Tan (A+B+C) calculation can be explained with given input values -> 1.493213 = (0.36+0.58+0.11-(0.36*0.58*0.11))/(1-(0.36*0.58)-(0.58*0.11)-(0.36*0.11)).

FAQ

What is Tan (A+B+C)?

The Tan (A+B+C) formula is defined as the value of the trigonometric tangent function of the sum of three given angles, angle A, angle B and angle C and is represented as tan_(A+B+C) = (tan A+tan B+tan C-(tan A*tan B*tan C))/(1-(tan A*tan B)-(tan B*tan C)-(tan A*tan C)) or Tan (A+B+C) = (Tan A+Tan B+Tan C-(Tan A*Tan B*Tan C))/(1-(Tan A*Tan B)-(Tan B*Tan C)-(Tan A*Tan C)). Tan A is the value of the trigonometric tangent function of the angle A, Tan B is the value of the trigonometric tangent function of the angle B & Tan C is the value of the trigonometric tangent function of the angle C.

How to calculate Tan (A+B+C)?

The Tan (A+B+C) formula is defined as the value of the trigonometric tangent function of the sum of three given angles, angle A, angle B and angle C is calculated using Tan (A+B+C) = (Tan A+Tan B+Tan C-(Tan A*Tan B*Tan C))/(1-(Tan A*Tan B)-(Tan B*Tan C)-(Tan A*Tan C)). To calculate Tan (A+B+C), you need Tan A (tan A), Tan B (tan B) & Tan C (tan C). With our tool, you need to enter the respective value for Tan A, Tan B & Tan C 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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