Subjects trigonometry

Csc Pi Over 2 743C22

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1. The problem asks to evaluate the cosecant function at the angle $\frac{\pi}{2}$.\n\n2. Recall that $\csc \theta = \frac{1}{\sin \theta}$. This means to find $\csc \frac{\pi}{2}$, we need to find $\sin \frac{\pi}{2}$ first.\n\n3. We know from the unit circle that $\sin \frac{\pi}{2} = 1$.\n\n4. Substitute this into the cosecant formula: $$\csc \frac{\pi}{2} = \frac{1}{\sin \frac{\pi}{2}} = \frac{1}{1} = 1.$$\n\n5. Therefore, the value of $\csc \frac{\pi}{2}$ is 1.\n\nFinal answer: $\boxed{1}$