Evaluate the expression: 8 sin^{2} 45^{circ} | vedclass

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(B) Given expression: $8 \sin^{2} 45^{\circ} - 2 	an^{2} 60^{\circ} + 3 \cot^{2} 30^{\circ} - 2 \cos^{2} 45^{\circ}$Substitute the trigonometric valu

Vedclass · Accepted Answer

$6$

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(B) Given expression: $8 \sin^{2} 45^{\circ} - 2 	an^{2} 60^{\circ} + 3 \cot^{2} 30^{\circ} - 2 \cos^{2} 45^{\circ}$Substitute the trigonometric values:$\sin 45^{\circ} = \frac{1}{\sqrt{2}}$,$	an 60^{\circ} = \sqrt{3}$,$\cot 30^{\circ} = \sqrt{3}$,$\cos 45^{\circ} = \frac{1}{\sqrt{2}}$$= 8 \left( \frac{1}{\sqrt{2}} ight)^{2} - 2 (\sqrt{3})^{2} + 3 (\sqrt{3})^{2} - 2 \left( \frac{1}{\sqrt{2}} ight)^{2}$$= 8 \left( \frac{1}{2} ight) - 2 (3) + 3 (3) - 2 \left( \frac{1}{2} ight)$$= 4 - 6 + 9 - 1$$= 6$

Evaluate the expression: $8 \sin^{2} 45^{\circ} - 2 \tan^{2} 60^{\circ} + 3 \cot^{2} 30^{\circ} - 2 \cos^{2} 45^{\circ}$

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