Expansion of tan (A + B + C)
We will learn how to find the expansion of tan (A + B + C). By using the formula of tan (α + β) we can easily expand tan (A + B + C).
Let us recall the formula of tan (α + β) = tan α + tan β/1 - tan α tan β.
tan (A + B + C) = tan [( A + B) + C]
= tan (A + B) + tan C/1 - tan (A + B) tan C, [applying the formula of tan (α + β)]
= tan A + tan B/(1 - tan A tan B) + tan C /1 - (tan A + tan B)/1 - tan A tan B ∙ tan C, [again applying the formula of tan (α + β)]
= tan A + tan B + tan C - tan A tan B tan C/ 1 - tan A tan B- tan C tan A - tan B tan C
Therefore, the expansion of tan (A + B + C) = tan A + tan B + tan C - tan A tan B tan C/ 1 - tan A tan B- tan C tan A - tan B tan C.
- Proof of Compound Angle Formula sin (α + β)
- Proof of Compound Angle Formula sin (α - β)
- Proof of Compound Angle Formula cos (α + β)
- Proof of Compound Angle Formula cos (α - β)
- Proof of Compound Angle Formula sin 22 α - sin 22 β
- Proof of Compound Angle Formula cos 22 α - sin 22 β
- Proof of Tangent Formula tan (α + β)
- Proof of Tangent Formula tan (α - β)
- Proof of Cotangent Formula cot (α + β)
- Proof of Cotangent Formula cot (α - β)
- Expansion of sin (A + B + C)
- Expansion of sin (A - B + C)
- Expansion of cos (A + B + C)
- Expansion of tan (A + B + C)
- Compound Angle Formulae
- Problems using Compound Angle Formulae
- Problems on Compound Angles
11 and 12 Grade Math
From Expansion of tan (A + B + C) to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Adding 1-Digit Number | Understand the Concept one Digit Number
Sep 17, 24 02:25 AM
Understand the concept of adding 1-digit number with the help of objects as well as numbers. -
Counting Before, After and Between Numbers up to 10 | Number Counting
Sep 17, 24 01:47 AM
Counting before, after and between numbers up to 10 improves the child’s counting skills. -
Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern
Sep 17, 24 12:10 AM
Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures… -
Arranging Numbers | Ascending Order | Descending Order |Compare Digits
Sep 16, 24 11:24 PM
We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma… -
Worksheet on Tens and Ones | Math Place Value |Tens and Ones Questions
Sep 16, 24 02:40 PM
In math place value the worksheet on tens and ones questions are given below so that students can do enough practice which will help the kids to learn further numbers.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.