Tolong dijawab sama caranya yaa No 6.7.8.9
Matematika
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Pertanyaan
Tolong dijawab sama caranya yaa No 6.7.8.9
1 Jawaban
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1. Jawaban alex422
[tex]6. \: \: 2 \frac{2}{3} \pi \: rad = \frac{8}{3} \pi \: rad = {480}^{o} \\ 7. \: \: {sin}^{2} \beta + {cos}^{2} \beta = 1 \\ {sin}^{2} \beta = 1 - {cos}^{2} \beta = 1 - { (\frac{8}{17}) }^{2} = \frac{ {17}^{2} - {8}^{2} }{ {17}^{2} } = \frac{25 \times 9}{ {17}^{2} } \\ \sin( \beta ) = \frac{15}{17} \\ \tan( \beta ) = \frac{15}{8} [/tex]
[tex]8. \tan(240) - \cot(30) = \tan(240) - \frac{1}{ \tan(30) } = \\ \frac{ \tan(30) \times \tan(240) - 1}{ \tan(30) } = \frac{ \frac{1}{ \sqrt{3} } \times \sqrt{3} - 1}{ \frac{1}{ \sqrt{3} } } = 0[/tex]
[tex]9. \: \: \sin(150) + \cos(300) = \frac{1}{2} + \frac{1}{2} = 1[/tex]