Tan (A-B)/2 given Cot C/2 Calculator

✖The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.ⓘ Side A of Triangle [S_a]			+10% -10%
✖The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.ⓘ Side B of Triangle [S_b]			+10% -10%
✖Cot C/2 is the value of the trigonometric cotangent function of angle C by 2.ⓘ Cot C/2 [cot_(C/2)]			+10% -10%

✖Tan (A-B)/2 is the value of the trigonometric tangent function of angle A minus angle B whole by 2 of the triangle.ⓘ Tan (A-B)/2 given Cot C/2 [tan_(A-B)/2]

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Formula

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Tan (A-B)/2 given Cot C/2

Formula

`"tan"_{"(A-B)/2"} = (("S"_{"a"}-"S"_{"b"})/("S"_{"a"}+"S"_{"b"}))*"cot"_{"(C/2)"}`

Example

`"-0.116667"=(("10m"-"14m")/("10m"+"14m"))*"0.7"`

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Tan (A-B)/2 given Cot C/2 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tan (A-B)/2 = ((Side A of Triangle-Side B of Triangle)/(Side A of Triangle+Side B of Triangle))*Cot C/2
tan_(A-B)/2 = ((S_a-S_b)/(S_a+S_b))*cot_(C/2)
This formula uses 4 Variables

Variables Used

Tan (A-B)/2 - Tan (A-B)/2 is the value of the trigonometric tangent function of angle A minus angle B whole by 2 of the triangle.
Side A of Triangle - (Measured in Meter) - The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.
Side B of Triangle - (Measured in Meter) - The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.
Cot C/2 - Cot C/2 is the value of the trigonometric cotangent function of angle C by 2.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Cot C/2: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tan_(A-B)/2 = ((S_a-S_b)/(S_a+S_b))*cot_(C/2) --> ((10-14)/(10+14))*0.7

Evaluating ... ...

tan_(A-B)/2 = -0.116666666666667

STEP 3: Convert Result to Output's Unit

-0.116666666666667 --> No Conversion Required

FINAL ANSWER

-0.116666666666667 ≈ -0.116667 <-- Tan (A-B)/2

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Tangent Rule or Napier's Analogy » Tan (A-B)/2 given Cot C/2

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< 10+ Tangent Rule or Napier's Analogy Calculators

Cot (A-B)/2 given Tan C/2

Go Cot (A-B)/2 = ((Side A of Triangle+Side B of Triangle)/(Side A of Triangle-Side B of Triangle))*Tan (C/2)

Cot (C-A)/2 given Tan B/2

Go Cot (C-A)/2 = ((Side C of Triangle+Side A of Triangle)/(Side C of Triangle-Side A of Triangle))*Tan (B/2)

Cot (B-C)/2 given Tan A/2

Go Cot (B-C)/2 = ((Side B of Triangle+Side C of Triangle)/(Side B of Triangle-Side C of Triangle))*Tan (A/2)

Tan (A-B)/2 given Cot C/2

Go Tan (A-B)/2 = ((Side A of Triangle-Side B of Triangle)/(Side A of Triangle+Side B of Triangle))*Cot C/2

Tan (C-A)/2 given Cot B/2

Go Tan (C-A)/2 = ((Side C of Triangle-Side A of Triangle)/(Side C of Triangle+Side A of Triangle))*Cot B/2

Tan (B-C)/2 given Cot A/2

Go Tan (B-C)/2 = ((Side B of Triangle-Side C of Triangle)/(Side B of Triangle+Side C of Triangle))*Cot A/2

Tan (A-B)/2 given Sin (A+B)/2 , Sin (A-B)/2 and Tan C/2

Go Tan (A-B)/2 = (Sin (A-B)/2/Sin (A+B)/2)*Tan (C/2)

Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Tan C/2

Go Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Tan (C/2)

Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2

Go Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Cot C/2

Tan (A-B)/2 given Sin (A+B)/2 , Sin (A-B)/2 and Cot C/2

Go Tan (A-B)/2 = (Sin (A-B)/2/Sin (A+B)/2)*Cot C/2

Tan (A-B)/2 given Cot C/2 Formula

Tan (A-B)/2 = ((Side A of Triangle-Side B of Triangle)/(Side A of Triangle+Side B of Triangle))*Cot C/2
tan_(A-B)/2 = ((S_a-S_b)/(S_a+S_b))*cot_(C/2)

What is a Triangle?

The Triangle is the type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

What is Napier's analogy?

Formulas giving the tangent of half the sum or difference of two of the angles or sides of a spherical triangle in terms of the sides of the triangle.

How to Calculate Tan (A-B)/2 given Cot C/2?

Tan (A-B)/2 given Cot C/2 calculator uses Tan (A-B)/2 = ((Side A of Triangle-Side B of Triangle)/(Side A of Triangle+Side B of Triangle))*Cot C/2 to calculate the Tan (A-B)/2, The Tan (A-B)/2 given Cot C/2 formula is defined as the value of Tan (A-B)/2 using the values of the sides A and B of the triangle and Cot C/2. Tan (A-B)/2 is denoted by tan_(A-B)/2 symbol.

How to calculate Tan (A-B)/2 given Cot C/2 using this online calculator? To use this online calculator for Tan (A-B)/2 given Cot C/2, enter Side A of Triangle (S_a), Side B of Triangle (S_b) & Cot C/2 (cot_(C/2)) and hit the calculate button. Here is how the Tan (A-B)/2 given Cot C/2 calculation can be explained with given input values -> -0.116667 = ((10-14)/(10+14))*0.7.

FAQ

What is Tan (A-B)/2 given Cot C/2?

The Tan (A-B)/2 given Cot C/2 formula is defined as the value of Tan (A-B)/2 using the values of the sides A and B of the triangle and Cot C/2 and is represented as tan_(A-B)/2 = ((S_a-S_b)/(S_a+S_b))*cot_(C/2) or Tan (A-B)/2 = ((Side A of Triangle-Side B of Triangle)/(Side A of Triangle+Side B of Triangle))*Cot C/2. The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A, The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B & Cot C/2 is the value of the trigonometric cotangent function of angle C by 2.

How to calculate Tan (A-B)/2 given Cot C/2?

The Tan (A-B)/2 given Cot C/2 formula is defined as the value of Tan (A-B)/2 using the values of the sides A and B of the triangle and Cot C/2 is calculated using Tan (A-B)/2 = ((Side A of Triangle-Side B of Triangle)/(Side A of Triangle+Side B of Triangle))*Cot C/2. To calculate Tan (A-B)/2 given Cot C/2, you need Side A of Triangle (S_a), Side B of Triangle (S_b) & Cot C/2 (cot_(C/2)). With our tool, you need to enter the respective value for Side A of Triangle, Side B of Triangle & Cot C/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 Tan (A-B)/2?

In this formula, Tan (A-B)/2 uses Side A of Triangle, Side B of Triangle & Cot C/2. We can use 2 other way(s) to calculate the same, which is/are as follows -

Tan (A-B)/2 = (Sin (A-B)/2/Sin (A+B)/2)*Tan (C/2)
Tan (A-B)/2 = (Sin (A-B)/2/Sin (A+B)/2)*Cot C/2

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