Not sure where this belonged in the forum, but hopefully I got close.
I need to find values for c and x, that are both real and positive that satisfy this equation. Im pretty sure that Euler's formula will be of use, I cant figure out what the first step would be. Thanks.
cos(4t-1) - 2sin(4t+2) = c cos(4t+x)
I tried splitting these up with trig identities before and got:
cos(1)cos(4t) + sin(1)sin(4t) - 2cos(4t)sin(2) + 2cos(2)sin(4t)
Next, I factored out the constants. getting:
[cos(1)-2sin(2)]cos(4t) + [sin(1)+2cos(2)]sin(4t).
Now I just gotta find a way to combine these and just get a cosine term on the left side so that it will match the right.
... You can derive the identities...
What I suggest to You is to write all sin and cos in Your equation in 'exponential form' and then to set, for example, ...