Answer-If 5 sinθ + 3 cosθ = 4 then value of 5 cosθ - 3 sinθ = ?

If 5 sin 3 cos 4 Let 5 cos - 3 sin K Then squaring both equation and adding 5sin3cos2 42 5cos-3sin2 K2 25 sin 9 cos 30 sin cos 16 ---------------------------------------------- 9 sin 25 cos- 30 sin cos K 34 sin 34 cos 16 K 34 sin 34 cos 16 K sin cos 1 34 16 K K 34 - 16 18 K 18 32