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Find the Smallest Value Of tt Such That t>0t>0 And sin⁡(8t)+sin⁡(7t)=0\sin (8 t)+\sin (7 t)=0

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Find the smallest value of tt such that t>0t>0 and sin⁡(8t)+sin⁡(7t)=0\sin (8 t)+\sin (7 t)=0 .

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