Question

sin(x+pie/6) + cos(x+pie/6)​

Answer 1

Answer:

1) x = π/12

2) x = π/6

3) x = π/3

4) x = π/2

Answer: (1) x = π/12

Solution:

sin(x + π/6) + cos(x + π/6)

Multiplying and dividing by √2,

= (√2) [(1/√2)sin(x + π/6) + (1/√2)cos(x + π/6)]

= √2 [cos π/4 sin(x + π/6) + sin π/4 cos(x + π/6)]

= √2 sin(x + π/6 + π/4)

This expression has a maximum value when x + π/6 + π/4 = π/2 and the maximum value is √2.

Thus, x = (π/2) – (π/6) – (π/4) = π/12

please mark me as brainlist