Let be positive real numbers such that . Prove the following trigonometric identities:

**Solution**

- We have successively:
- Similarly, we have successively:

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Let be positive real numbers such that . Prove the following trigonometric identities:

**Solution**

- We have successively:
- Similarly, we have successively:

How about this solution?

Since and we have:

and for the other we use the identity