2sin254∘−2cos2 36∘+4sin230∘

2sin254∘−2cos2 36∘+4sin230∘= 2sin2(90−36)∘−2cos2 36∘+4sin230∘= 2cos236∘−2cos2 36∘+4sin230∘= 4sin230∘= 4(21)2= 1

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2^2 54^{}-2 ^2 36^{}+4^2 30^{}

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$2 sin^{2} 5 4^{\circ} - 2 cos^{2} 3 6^{\circ} + 4 sin^{2} 3 0^{\circ}$

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2 sin^{2} 5 4^{\circ} - 2 cos^{2} 3 6^{\circ} + 4 sin^{2} 3 0^{\circ}

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2 sin^{2} 5 4^{\circ} - 2 cos^{2} 3 6^{\circ} + 4 sin^{2} 3 0^{\circ}

2 sin^{2} (90 - 36)^{\circ} - 2 cos^{2} 3 6^{\circ} + 4 sin^{2} 3 0^{\circ}

2 cos^{2} 3 6^{\circ} - 2 cos^{2} 3 6^{\circ} + 4 sin^{2} 3 0^{\circ}

4 sin^{2} 3 0^{\circ}

4 (\frac{1}{2})^{2}

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