Answer: 0.73 + πk, 0.28 + πk
Explanation:
cos (2x - 1) = 0.9
cos⁻¹[cos (2x - 1)] = cos⁻¹ 0.9
2x - 1 = +/- 0.45
2x = +/- 0.45 + 1
x = [tex]\frac{+/- 0.45 + 1}{2}[/tex]
x = [tex]\frac{0.45 + 1}{2}[/tex], x = [tex]\frac{-0.45 + 1}{2}[/tex]
x = 0.73, 0.28
For ALL Solutions:
x = 0.73 + πk and x = 0.28 + πk