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Find all solutions in radians. Approximate your answers to the nearest hundredth. (Let k be any integer.)
cos (2x − 1) = 0.9
x=

Respuesta :

tramserran

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

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