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

STEP 0: Pre-Calculation Summary
Formula Used
Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Cot C/2
tan(A+B)/2 = (cos(A-B)/2/cos(A+B)/2)*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.
Cos (A-B)/2 - Cos (A-B)/2 is the value of the trigonometric sine function of angle A minus angle B whole by 2 of the triangle.
Cos (A+B)/2 - Cos (A+B)/2 is the value of the trigonometric cosine function of angle A minus angle B whole by 2 of the triangle.
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
Cos (A-B)/2: 0.99 --> No Conversion Required
Cos (A+B)/2: 0.82 --> No Conversion Required
Cot C/2: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tan(A+B)/2 = (cos(A-B)/2/cos(A+B)/2)*cot(C/2) --> (0.99/0.82)*0.7
Evaluating ... ...
tan(A+B)/2 = 0.845121951219512
STEP 3: Convert Result to Output's Unit
0.845121951219512 --> No Conversion Required
FINAL ANSWER
0.845121951219512 0.845122 <-- Tan (A+B)/2
(Calculation completed in 00.020 seconds)

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Tangent Rule or Napier's Analogy Calculators

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

​LaTeX ​Go
Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Cot C/2
tan(A+B)/2 = (cos(A-B)/2/cos(A+B)/2)*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 Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2?

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

How to calculate Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2 using this online calculator? To use this online calculator for Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2, enter Cos (A-B)/2 (cos(A-B)/2), Cos (A+B)/2 (cos(A+B)/2) & Cot C/2 (cot(C/2)) and hit the calculate button. Here is how the Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2 calculation can be explained with given input values -> 0.845122 = (0.99/0.82)*0.7.

FAQ

What is Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2?
The Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2 formula is defined as the value of Tan (A+B)/2 using the values of the Cos (A+B)/2, Cos (A-B)/2 and Cot C/2 of the triangle and is represented as tan(A+B)/2 = (cos(A-B)/2/cos(A+B)/2)*cot(C/2) or Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Cot C/2. Cos (A-B)/2 is the value of the trigonometric sine function of angle A minus angle B whole by 2 of the triangle, Cos (A+B)/2 is the value of the trigonometric cosine function of angle A minus angle B whole by 2 of the triangle & Cot C/2 is the value of the trigonometric cotangent function of angle C by 2.
How to calculate Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2?
The Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2 formula is defined as the value of Tan (A+B)/2 using the values of the Cos (A+B)/2, Cos (A-B)/2 and Cot C/2 of the triangle is calculated using Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Cot C/2. To calculate Tan (A+B)/2 given Cos (A+B)/2 , Cos (A-B)/2 and Cot C/2, you need Cos (A-B)/2 (cos(A-B)/2), Cos (A+B)/2 (cos(A+B)/2) & Cot C/2 (cot(C/2)). With our tool, you need to enter the respective value for Cos (A-B)/2, Cos (A+B)/2 & 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 Cos (A-B)/2, Cos (A+B)/2 & Cot C/2. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Tan (A+B)/2 = (Cos (A-B)/2/Cos (A+B)/2)*Tan (C/2)
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