Given,tanθ=4/3.cotθ=1/(4/3)=3/4[ Since, 1/tanθ=cotθ ]We know that,tanθ= opposite side to theta / adjacent side to theta.So, opposite side =4 , Adjacent side =3Hypotenuse = (4²+3²)​=5Now,sinθ= Opposite side to theta / Hypotenuse =4/5cosθ= Adjacent side to theta / Hypotenuse =3/5To prove : sinθ+cosθ=7/5.L. H.S=sinθ+cosθ=4/5+3/5=7/5= R. H. SHence proved!