sin265-cos265=2sin265×12-cos265×12=2sin265×cos45-cos265×sin45=2sin265-45=2sin220=2sin180+40=-2sin40

sin 265 -cos 265 is?

\sin 265 - \cos 265 = \sqrt{2} [\sin 265 \times \frac{1}{\sqrt{2}} - \cos 265 \times \frac{1}{\sqrt{2}}] = \sqrt{2} [\sin 265 \times \cos 45 - \cos 265 \times \sin 45] = \sqrt{2} [\sin (265 - 45)] = \sqrt{2} \sin 220 = \sqrt{2} \sin (180 + 40) = - \sqrt{2} \sin 40