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Question

Mathematics Question on Trigonometric Functions

Find the value of the trigonometric function sin 765°

Answer

It is known that the values of cosec x repeat after an interval of 2π or 360°.

∴sin 765°=sin(2×360°+45°)=sin45°=1√2∴sin\,765°=sin(2×360°+45°)=sin 45°=\frac{1}{√2}