Matematika

Pertanyaan

1.HITUNG ALPHA, JIKA SIN ALPHA = COS ALPHA
2.HITUNG ALPHA,JIKA tan alpha = cotan alpha
3.HITUNG cos alpha , jika sin alpha = cotan alpha
4 .hitung sin alpha, jika cos alpha = tan alpha
5.hitung tan alpha jika tan alpha -cotan alpha = 1 1/2

1 Jawaban

  • [tex]
    \text{SOAL 1}\\
    \sin{\alpha}=\cos{\alpha}\Leftrightarrow\sin{\alpha}=\sin{(90\degree-\alpha)}\\
    \text{selanjutnya, diperoleh }\\\alpha=90\degree-\alpha+k\cdot360\degree\Leftrightarrow2\alpha=90\degree+k\cdot360\degree\Leftrightarrow\alpha=45\degree+k\cdot180\degree\\
    \\
    \text{SOAL 2}\\
    \tan{\alpha}=\cot{\alpha}\Leftrightarrow\tan{\alpha}=\frac{1}{\tan{\alpha}}\Leftrightarrow\tan^2{\alpha}=1\\
    \text{Hal ini berarti}\\
    \tan{\alpha}=1\text{ atau }\tan{\alpha}=-1\\
    \text{Selanjutnya, diperoleh}\\
    \alpha=45\degree+k\cdot180\degree\text{ atau }\alpha=135\degree+k\cdot180\degree\\
    \\
    [/tex]

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