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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1
The value of cos⁡3(π8)⋅cos⁡(3π8)+sin⁡3(π8)⋅sin⁡(3π8){\cos ^3}\left( {\frac{\pi }{8}} \right) \cdot \cos \left( {\frac{{3\pi }}{8}} \right) + {\sin ^3}\left( {\frac{\pi }{8}} \right) \cdot \sin \left( {\frac{{3\pi }}{8}} \right) is
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Correct option: B
122\frac{1}{{2\sqrt 2 }}
Option B (122\frac{1}{{2\sqrt 2 }}) is correct because it is the simplified value of the given trigonometric expression after applying trigonometric identities.

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