# Power-amplification formula

1. Feb 17, 2014

### Jhenrique

1. The problem statement, all variables and given/known data

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?

$$\sqrt{\sin(x)} = ?$$$$\sqrt{\cos(x)} = ?$$

2. Relevant equations

3. The attempt at a solution

None attempt well succeful or relevant.

2. Feb 17, 2014

### Ray Vickson

Since $\sqrt{\sin(x)}$ and $\sqrt{\cos(x)}$ do not exist (as real quantities) whenever the sin or cos are < 0, any kind of formula would need to be genuinely weird. If there were formulas at all they would need to have branch cuts in the complex plane.

3. Feb 18, 2014

### Jhenrique

I didn't understand your answer.

4. Feb 19, 2014

### haruspex

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?

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