Find the exact value of sin(x-(Pi/6)) if cos x=1/4 and x is in quadrent four of the unit circle.

Question

sorry i cant use the correct symbols....

Answer 1

sin (α - β) = sin α cos β - cos α sin β

 

sin (x - π/6) = sin x cos π/6 - cos x sin π/6

sin (x - π/6) = -√15/4 · √3/2 - 1/4 · 1/2

sin (x - π/6) = -√45/8 - 1/8