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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1
If 2  cos⁡  A2=1+sin⁡  A+1−sin⁡  A2\,\,\cos \,\,\frac{A}{2} = \sqrt {1 + \sin \,\,A} + \sqrt {1 - \sin \,\,A}, then A2\frac{A}{2} lies between, (n∈Z)\left( {n \in Z} \right)
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Correct option: B
2n  π−π42n\;\pi - \frac{\pi }{4} and 2n  π+π42n\;\pi + \frac{\pi }{4}
Option C (cot⁡B\cot B) is correct because simplifying the given expression using trigonometric identities leads to this result.

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