cos ^{2} 75^{circ}+cos ^{2} 45^{circ}+cos ^{2 | vedclass

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Question

(C) हम जानते हैं कि $\cos 75^{\circ} = \frac{\sqrt{3}-1}{2\sqrt{2}}$ और $\cos 15^{\circ} = \frac{\sqrt{3}+1}{2\sqrt{2}}$.अतः,$\cos^2 75^{\circ} + \cos

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(C) हम जानते हैं कि $\cos 75^{\circ} = \frac{\sqrt{3}-1}{2\sqrt{2}}$ और $\cos 15^{\circ} = \frac{\sqrt{3}+1}{2\sqrt{2}}$.अतः,$\cos^2 75^{\circ} + \cos^2 15^{\circ} = \frac{3+1-2\sqrt{3}}{8} + \frac{3+1+2\sqrt{3}}{8} = 1$.साथ ही,$\cos^2 45^{\circ} = \frac{1}{2}$ और $\cos^2 30^{\circ} + \cos^2 60^{\circ} = \frac{3}{4} + \frac{1}{4} = 1$.इन मानों को रखने पर: $1 + \frac{1}{2} - 1 = \frac{1}{2}$.

$\cos ^{2} 75^{\circ}+\cos ^{2} 45^{\circ}+\cos ^{2} 15^{\circ}-\cos ^{2} 30^{\circ}-\cos ^{2} 60^{\circ}$ का मान है

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