Question

the maximum value of sin(A+π/6)+cos(A+π/6) is attained at?

A. π/12
B. π/6
C. π/3
D. π/2​

Answer 1

Max value of sin (a+ pie/6) + cos( A+ pie/6) =√1+1 = √2

So it will be at 45 angle

a+ pie/6 = pie/4

a= pie/4 - pie/6 = pie/12