Identities for atan(a+b) or atan(a*b)

  • Thread starter rhz
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In summary, the formula for identities for atan(a+b) is atan(a+b) = atan(a) + atan(b) / 1 - atan(a) * atan(b). Identities for atan(a+b) involve adding two values together, while identities for atan(a*b) involve multiplying two values. They can be used to simplify complex expressions involving trigonometric functions, but the values of a and b must be within the domain of arctangent function. These identities can be applied in real-life situations in fields such as physics, engineering, and navigation.
  • #1
rhz
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Hi,

Does anyone know of any nice identities for the inverse or arc tangent of a sum or a product?

Thanks,

rhz
 
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  • #2
bump...

Any ideas out there? I searched for this on google and came up with nothing.

Thanks!
 
  • #3
I don't believe there are any nice expansions for the sum or product of inverse trigs, such as how there are for trigs. What do you need them for exactly?
 

Related to Identities for atan(a+b) or atan(a*b)

1. What is the formula for identities for atan(a+b)?

The formula for identities for atan(a+b) is atan(a+b) = atan(a) + atan(b) / 1 - atan(a) * atan(b).

2. How is identities for atan(a+b) different from identities for atan(a*b)?

Identities for atan(a+b) involve adding two values together, while identities for atan(a*b) involve multiplying two values.

3. Can identities for atan(a+b) be used to simplify complex expressions?

Yes, identities for atan(a+b) can be used to simplify complex expressions involving trigonometric functions.

4. Are there any restrictions on the values of a and b in identities for atan(a+b)?

Yes, the values of a and b must be within the domain of arctangent function, which is between -1 and 1.

5. How can identities for atan(a+b) be applied in real-life situations?

Identities for atan(a+b) can be used in fields such as physics, engineering, and navigation where trigonometric functions are commonly used to solve problems involving angles and distances.

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