sin(5α+θ)=cos(θ−3α)

We are to find the least

**positive**value of α for which above equation holds.

The way I did is as,

sin5αcosθ+cos5αsinθ=cosθcos3α+sinθsin3α

Now for this to be true

sin5α=cos3αsin5α=cos3α

and

cos5α=sin3αcos5α=sin3α

How do I find the value of α that satisfies the above criteria?