bradlimarshall
bradlimarshall bradlimarshall
  • 08-10-2016
  • Mathematics
contestada

If sin α =3/5 and cos β = 3/5 and α and β are in quadrant I, then what is the value of sin (α + β)?

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Аноним Аноним
  • 08-10-2016
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Panoyin
Panoyin Panoyin
  • 09-10-2016
        sin(α) = ³/₅
sin⁻¹[sin(α)] = sin⁻¹(³/₅)
               α ≈ 37

         cos(β) = ³/₅
cos⁻¹[cos(β)] = cos⁻¹(³/₅)
                 β ≈ 53

sin(α + β) = sin(37 + 53)
sin(α + β) = sin(90)
sin(α + β) = 1

The value of sin(α + β) is 1.
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