Matematika

Pertanyaan

nilai cos 375° =....

1 Jawaban

  • [tex]cos375 = cos(360 + 15) \\ cos15 = cos(45 - 30) \\ = \cos(45) \cos(30) + \sin(45) \sin(30 ) \\ = \frac{1}{2} \sqrt{2} \times \frac{1}{2} \sqrt{3} + \frac{1}{2} \sqrt{2} \times \frac{1}{2} \\ = \frac{1}{4} \sqrt{6} + \frac{1}{4} \sqrt{2} \\ = \frac{1}{4} ( \sqrt{6} + \sqrt{2} )[/tex]

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