Find the value of cosec2 30-sin 2 45- 2 60- -

The correct option is C 2cosec^230 sin^245^∘ sec^260^∘ =(2)^2×(1/√(2) )^2 (2)^2 = 2 ...

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Value of Standard Angle(30,60,90)

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Question

Find the value of
$c o s e c^{2} 30^{\circ} s i n^{2} 45^{\circ} - s e c^{2} 60^{\circ} .$

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c o s e c^{2} 30^{\circ} s i n^{2} 45^{\circ} - s e c^{2} 60^{\circ}

4 {cot}^{2} 45^{\circ} + {sec}^{2} 60^{\circ} + c o s e c^{2} 30^{\circ} + cot 90^{\circ}

c o s e c^{2} 30^{\circ} s i n^{2} 45^{\circ} - s e c^{2} 60^{\circ}

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(i) \frac{1 + {tan}^{2} 30^{\circ}}{1 - {tan}^{2} 30^{\circ}} + c o s e c^{2} 60^{\circ} - {cos}^{2} 45^{\circ} + {sin}^{2} 45^{\circ} + \frac{1 + {cot}^{2} 60^{\circ}}{1 - {cot}^{2} 60^{\circ}}

(i i) 4 ({sin}^{4} 30^{\circ} + {cos}^{4} 60^{\circ}) - 3 ({cos}^{2} 45^{\circ} - {sin}^{2} 90^{\circ})

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