The discussion revolves around the existence of a formula for the amplification of power for sine and cosine functions, particularly in the context of negative inputs. Participants are exploring whether such a formula can be defined and how it might behave under certain conditions.
The discussion is ongoing, with participants expressing confusion about previous responses and seeking clarification on how to handle negative values in the context of the proposed formulas. Some participants are considering the need for complex analysis to address the issues raised.
There is an acknowledgment that square roots of sine and cosine functions do not yield real quantities when the functions are negative, which raises questions about the feasibility of any proposed formulas.
Jhenrique said:Homework Statement
If exist a formula for reducion of power for sin and cos:
So, is possible to define a formula of "amplification of power" for sin and cos?
[tex]\sqrt{\sin(x)} = ?[/tex][tex]\sqrt{\cos(x)} = ?[/tex]
Homework Equations
The Attempt at a Solution
None attempt well succeful or relevant.
Ray is saying, suppose f(x) = √(sin(x)), where f(x) is a real function. How will it give the right answer when sin(x) is negative?Jhenrique said: