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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
cos⁡(π4−x)cos⁡(π4−y)−sin⁡(π4−x)sin⁡(π4−y)\cos \left( {\frac{\pi }{4} - x} \right)\cos \left( {\frac{\pi }{4} - y} \right) - \sin \left( {\frac{\pi }{4} - x} \right)\sin \left( {\frac{\pi }{4} - y} \right) is equal to
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Correct option: B
sin⁡(x+y)\sin \left( {x + y} \right)
Option C (cos⁡(x+y)\cos \left( {x + y} \right)) is correct because it is the simplified form of the given expression using the cosine addition formula.

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