Given question is :
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?
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?