$\"\"$ \ \

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The expression is $\"\"$ .

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Rewrite the expression as $\"\"$ .

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Consider $\"\"$ .

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Sum formula of sine function : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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Rationalize the fraction.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ . \ \

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$\"\"$ . \ \

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The exact value of $\"\"$ is $\"\"$ . \ \