QuestionFind the six trigonometric functions for the angle $765^{\circ}$. Calculate $\sin 765^{\circ}=$ (simplify and rationalize).

Studdy Solution
For $45^{\circ}$, the values of the trigonometric functions are known$$\sin45^{\circ} = \frac{\sqrt{2}}{2}$$$$\cos45^{\circ} = \frac{\sqrt{2}}{2}$$$$\tan45^{\circ} =1$$$$\csc45^{\circ} = \sqrt{2}$$$$\sec45^{\circ} = \sqrt{2}$$$$\cot45^{\circ} =1$$So, the exact values of the six trigonometric functions for $765^{\circ}$ are the same as those for $45^{\circ}$.