Hello, can you give me a detailed solution for this example: (cos(75) - sin(75))^2
Trigonometric subtraction
Доброе утро русский друг!
\(cos\ (x)-sin\ (x)=\sqrt 2\ sin(\frac{\pi}{4}-x)\\ (cos\ (75^\circ)-sin\ (75^\circ))^2=(\sqrt 2\ sin(\frac{\pi}{4}-\frac{75^\circ \cdot\pi}{180^\circ}))^2\\ \color{blue}=(-0,5\sqrt{2})^2=0,5\)
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