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, ji
Matematika
FSDG
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
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
-
1. Jawaban supaat69
[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]