If tan θ = 4/3, then (sin θ + cos θ) = ?

Given: tan θ = 4/3 = Perpendicular/Base


Therefore, (Hypotenuse)2 = (Perpendicular)2 + (Base)2


= 16 + 9


= 25


Therefore, hypotenuse = √25


= 5


Therefore sin θ = Perpendicular/Hypotenuse


= 4/5


Also, cos θ = Base/Hypotenuse


= 3/5


Thus, sin θ + cos θ = (4/5) + (3/5)


= 7/5

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