If sin α = 1/2 and sin β= 1/2, then what is the value of cos (α + β)? (0 degree < α, β < 90 degree)

1/4 1 $\sqrt{3}/2$ 1/2

1/2

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