If sin ⁡x=1/2, and 0<x<π/2, what is cos⁡(x−π/6)?

Question

........... can someone help me?

Answer 1

If sinx = 1/2, then x = pi/6 because 0 < pi/6 < pi/2

So, cos(x-pi/6) = cos(pi/6 - pi/6) = cos (0) = 1

Answer: cos (x - pi/6) =1