There's a question that I just can't figure out, and I'm sure it's really simple but it's just not working for me. Some help would be greatly appreciated. I've tried looking for a similar question, but to no avail. Anyhow, here it is:
sinx - cosx = 1
Thanks in advance!
Hello, darkryder341!
There are number of approaches to this problem (none are obvious).
I will assume that the answers are on the intervalSolve for
Square both sides: .
We have: .
. . . . . . .
And we have: .
Then: .
Hence: .
But we find that are extraneous roots.
Therefore, the answers are: .
Hello darkryder341An alternative approach.
Expressions like can always be expressed in terms of a single trig function, like this:
Suppose
Then
So, comparing coefficients:
and
If we square and add,
(taking the positive value)
and, dividing:
So the original equation becomes:
Grandad