If sin α = 1/2 and sin β= 1/2, then what is the value of cos (α + β)?…

We are given :-

sin α =\(\frac{1}{2}\) and sin β = \(\frac{1}{2}\)

{ we know, sin30º = \(\frac{1}{2}\) }

So, α = β = 30º

Now,

cos (α + β)

= cos ( 30º + 30º)

= cos 60º

= \(\frac{1}{2}\)