1.

Sin 765°=sin(360+405)              =Sin(405)              =Sin(360+45)             =Sin45           =1/✓2

Answer»

It is known that the values of sinx repeat after an interval of 2π or 360
 
∴sin765
 =sin(2×360 +45)
=sin45∘   

\(= \frac{1}{\sqrt 2}\)



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