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P=tg15*tg35*tg55*tg75 P=?  15,35,55,75 sunt grade 

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[tex]\displaystyle tg15 \cdot tg 75= \frac{sin15}{cos15} \cdot \frac{sin75}{cos75}= \frac{2sin45cos30}{2cos45cos30} =1\\ tg35 \cdot tg 55= \frac{sin35}{cos35} \cdot \frac{sin55}{cos55}= \frac{2sin45cos10}{2cos45cos10} =1 [/tex]
In concluzie, P=1.

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