Question

How do you find the exact value of Sin(pi/3)cos(pi/6)+cos(pi/3)sin(pi/6)?

Answer 1

= 1

Explanation:

Reminder trig identity: sin (a + b) = sin a.cos b + sin b.cos a.
`sin (pi/3).cos (pi/6) + cos (pi/3).sin (pi/6) = sin (pi/3 + pi/6) =`
`= sin ((3pi)/6) = sin (pi/2) = 1`