Matematika

Pertanyaan

Sin 75 + sin 15 =
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1 Jawaban

  • sin 75 = sin (120 - 45)
    = (sin 120 x cos 45) - (cos 120 x sin 45)
    = (\frac{1}{2} \sqrt{3}​2​​1​​√​3​​​ x \frac{1}{2} \sqrt{2}​2​​1​​√​2​​​ ) - (\frac{-1}{2}​2​​−1​​ x \frac{1}{2} \sqrt{2}​2​​1​​√​2​​​ )
    = \frac{1}{4} \sqrt{6}​4​​1​​√​6​​​ + \frac{1}{4} \sqrt{2}​4​​1​​√​2​​​ 
    = 0,965..

    Sin 15
    sin 45.cos30-cos45.sin30
    =\frac{1}{2} \sqrt{2} - \frac{1}{2} \sqrt{3} - \frac{1}{2} \sqrt{2} \frac{1}{2}​2​​1​​√​2​​​−​2​​1​​√​3​​​−​2​​1​​√​2​​​​2​​1​​ 
    =\frac{1}{2} \sqrt{6} - \frac{1}{2} \sqrt{2}​2​​1​​√​6​​​−​2​​1​​√​2​​​ 
    =\frac{1}{2} ( \sqrt{6} - \sqrt{2} )​2​​1​​(√​6​​​−√​2​​​)

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