$\"\"$

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The angle is $\"\"$ .

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Let the angle, $\"\"$ is half of $\"\"$ ; so $\"\"$ .

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$\"\"$ (Write trigonometric function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Apply half angle formula: $\"\"$ )

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$\"\"$ (Substitute $\"\"$ ) $\"\"$ (Apply LCM rule: $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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The angle $\"\"$ lies in quadrant II, the function $\"\"$ is positive in quadrant II, so $\"\"$ . $\"\"$

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$\"\"$ (Write trigonometric function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Apply half angle formula: $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Apply LCM rule: $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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The angle $\"\"$ lies in quadrant II, the function $\"\"$ is negative in quadrant II, so $\"\"$ . $\"\"$

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$\"\"$ (Write trigonometric function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Apply half angle formula: $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Apply LCM rule: $\"\"$ )

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$\"\"$ (Simplify) $\"\"$

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The solutions are $\"\"$ .