- #1

- 95

- 0

Is this mean that

##\sin^2 2x + \cos^2 2x = 1##

or

##\sin^2 3x + \cos^2 3x = 1##

or

##\sin^2 4x + \cos^2 4x = 1##

and so on?

- Thread starter basty
- Start date

- #1

- 95

- 0

Is this mean that

##\sin^2 2x + \cos^2 2x = 1##

or

##\sin^2 3x + \cos^2 3x = 1##

or

##\sin^2 4x + \cos^2 4x = 1##

and so on?

- #2

- 22,089

- 3,289

Yes.

- #3

Mark44

Mentor

- 34,279

- 5,915

##sin^2(\text{whatever}) + cos^2(\text{whatever}) = 1##

Is this mean that

##\sin^2 2x + \cos^2 2x = 1##

or

##\sin^2 3x + \cos^2 3x = 1##

or

##\sin^2 4x + \cos^2 4x = 1##

and so on?

The "whatever" in both places has to be the same, of course.

- #4

- 95

- 0

Does ##\sin^2 2x = \frac{1 - \cos 4x}{2}?##

- #5

Mark44

Mentor

- 34,279

- 5,915

##\sin^2(A) = \frac{1 - \cos(2A)}{2}##Does ##\sin^2 2x = \frac{1 - \cos 4x}{2}?##

If A = 2x, what is 2A?

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