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  • 01-10-2016
  • Mathematics
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if sinx=4/5 what is cos(90-x)

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Panoyin
Panoyin Panoyin
  • 02-10-2016
        sin(x) = ⁴/₅
sin⁻¹[sin(x)] = sin⁻¹(⁴/₅)
               x ≈ 53.13

       cos(90 - x) = cos(90)cos(x) + sin(90)sin(x)
cos(90 - 53.13) = cos(90)cos(53.13) + sin(90)sin(53.13)
       cos(36.87) = 0cos(53.13) + sin(53.13)
       cos(36.87) = sin(53.13)
       cos(36.87) = cos(90 - 53.13)
       cos(36.87) = cos(36.87)
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