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Your help will be greatly appreciated!

Thanks!

1. The expression \(\sin\pi\) is equal to \(0\), while the expression $\frac{1}{\csc\pi}$ is undefined. Why is $\sin\theta=\frac{1}{\csc\theta}$ still an identity?

2. Prove $\cos(\theta + \frac{\pi}{2})= -\sin\theta$

Thanks!

1. The expression \(\sin\pi\) is equal to \(0\), while the expression $\frac{1}{\csc\pi}$ is undefined. Why is $\sin\theta=\frac{1}{\csc\theta}$ still an identity?

2. Prove $\cos(\theta + \frac{\pi}{2})= -\sin\theta$

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