Find cos (π/3 + a), where sin (a) = (1/√3), and 0

answer is (1/2) when a=0

a = approx 35.2644

cos (pi/3+a) = approx 0.999998973

Step-by-step explanation:

solve for sin (a)

sin a = (1/sqroot of 3)

arcsin sin (a) = arcsin (1/sqroot of 3)

a = arcsin (1/sqroot 3)

a=approx 35.2644

now substitute a into the cos formula