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Question

Find the value of:
${cosec}^{2} 45^{\circ} - {cot}^{2} 45^{\circ}$

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Solution

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${cosec}^{2} 45^{\circ} - {cot}^{2} 45^{\circ}$
= $(\sqrt{2})^{2} - 1^{2}$
= $2 - 1$
= $1$

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