From the diagram,
h2^{2}2 = 42^{2}2 + 32^{2}2 (pythagoras')
h2^{2}2 = 16 + 9 = 25
h = 25\sqrt{25}25 = 5
Hence, sin x - cos x
= 45−35\frac{4}{5} - \frac{3}{5}54−53
= 15\frac{1}{5}51