UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
Let sin‌x+sin‌y=√3(cos‌y−cos‌x);x+y=‌
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2
, 0<x,y<‌
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2
[NDA II 2023]
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Question : 77 of 120
 
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What is a value of sin‌3x+sin‌3y?
[NDA II 2023]
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