And 0
∴π/3+φ=π/2,∴φ=π/6
(2)f(x)=2sin(x/3+π/6)
Then f (3a+π) = 2sin (a+π/3+π/6) = 2sin (a+π/2) = 2cosa =10/13.
∴cosa=5/ 13, and a∈[-π/2, o], ∴ Sina < 0, then Sina =- 12/ 13.
∴f(3a-5π/4)=2sin(a-5π/ 12+π/6)
=2sin(a-π/4)
=2 (Sina *√2/2-cosa*√2/2)
=√2* (Sina -cosa)
=√2*(- 12/ 13-5/ 13)
=- 17√2/ 13
Hope to adopt