Question

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)?

Answer 1

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.

Answer 2

I hope this helps you