The value of cos 255^o + sin 195^o is | vedclass

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(C) Consider $\cos 255^o + \sin 195^o$.Using the reduction formulas:$\cos 255^o = \cos(270^o - 15^o) = -\sin 15^o$.$\sin 195^o = \sin(180^o + 15^o) =

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$-\frac{\sqrt{3} - 1}{\sqrt{2}}$

Vedclass · Answer

(C) Consider $\cos 255^o + \sin 195^o$.Using the reduction formulas:$\cos 255^o = \cos(270^o - 15^o) = -\sin 15^o$.$\sin 195^o = \sin(180^o + 15^o) = -\sin 15^o$.Therefore,the expression becomes:$-\sin 15^o - \sin 15^o = -2 \sin 15^o$.Using the value $\sin 15^o = \frac{\sqrt{6} - \sqrt{2}}{4} = \frac{\sqrt{3} - 1}{2\sqrt{2}}$:$-2 \left( \frac{\sqrt{3} - 1}{2\sqrt{2}} \right) = -\frac{\sqrt{3} - 1}{\sqrt{2}}$.

The value of $\cos 255^o + \sin 195^o$ is

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