Matematika

Pertanyaan

Hasil dari 1/4 cos 45 derajat + 1/2 sin 45 derajat

1 Jawaban

  • → cos 45 = √2 /2
    → sin 45 = √2 /2

    [tex]$\begin{align} \frac{1}{4} ~cos~45 + \frac{1}{2}~sin ~45 &= \frac{1}{4}( \frac{ \sqrt{2} }{2}) + \frac{1}{2} ( \frac{ \sqrt{2} }{2}) \\ &= \frac{ \sqrt{2} }{8} + \frac{ \sqrt{2} }{4} \\ &= \frac{ \sqrt{2} + 2 \sqrt{2} }{8} \\ &= \frac{3 \sqrt{2} }{8} \end{align}[/tex]

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