Matematika

Pertanyaan

Hitunglah
1 + sin45° / 1 + cos45° x 1 sec60° / 1 + cos ec60°

1 Jawaban

  • [tex] \frac{1 + sin 45}{1 + cos 45} x \frac{1+sec 60}{1+cosec60} = \frac{1+ \frac{1}{ \sqrt{2} } }{1 + \frac{1}{ \sqrt{2} } } + \frac{1+2}{1+ \frac{2}{ \sqrt{3} } } = 1 + \frac{3}{1+ \frac{2 \sqrt{3} }{3} } = 1 + \frac{3}{\frac{3+ 2 \sqrt{3} }{3} }[/tex]
    = [tex]1 + \frac{9}{3+ 2 \sqrt{3} } = 1 +\frac{27-18 \sqrt{3} }{9-8 } = 1+27 - 18 \sqrt{3} = 28 - 18 \sqrt{3} [/tex]

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