What is the value of cos left(22 frac{1}{2}ri | vedclass

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(B) Let $A = 22 \frac{1}{2}^{\circ} = \frac{45^{\circ}}{2}$.Using the half-angle formula $\cos A = \sqrt{\frac{1 + \cos 2A}{2}}$:$\cos \left(\frac{45^

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$\sqrt{\frac{\sqrt{2}+1}{2 \sqrt{2}}}$

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(B) Let $A = 22 \frac{1}{2}^{\circ} = \frac{45^{\circ}}{2}$.Using the half-angle formula $\cos A = \sqrt{\frac{1 + \cos 2A}{2}}$:$\cos \left(\frac{45^{\circ}}{2}\right) = \sqrt{\frac{1 + \cos 45^{\circ}}{2}}$Since $\cos 45^{\circ} = \frac{1}{\sqrt{2}}$,we have:$\cos \left(22 \frac{1}{2}\right)^{\circ} = \sqrt{\frac{1 + \frac{1}{\sqrt{2}}}{2}}$$= \sqrt{\frac{\frac{\sqrt{2} + 1}{\sqrt{2}}}{2}}$$= \sqrt{\frac{\sqrt{2} + 1}{2 \sqrt{2}}}$Thus,the correct option is $B$.

What is the value of $\cos \left(22 \frac{1}{2}\right)^{\circ}$?

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