Matematika

Pertanyaan

Buktikan tan A cos A=sin A!!

2 Jawaban


  • [tex] \tan \: a \: = \frac{ \sin \: a}{ \cos \: a} \\ \frac{ \sin \: a}{ \cos \: a} \times \cos \: a \: = \sin \: a[/tex]

  • [tex] \tan(a) = \frac{ \sin(a) }{ \cos(a) } [/tex]
    Sehingga
    [tex] \tan(a) \cos(a) = \sin(a) \\ \frac{ \sin(a) }{ \cos(a) } \times \cos(a) = \sin(a) \\ \frac{ \sin(a) \cos(a) }{ \cos(a) } = \sin(a) \\ \sin(a) = \sin(a) [/tex]
    Terbukti !!!
    Semoga dapat dipahami

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