7π/6 = 7π/6×180/π = 1190/6= 193,3 (edit yang D)
jangan lupa follow dan jadikan jawaban terbaik, terimakasih
Jawaban:
1.
a.
[tex] \frac{4}{9} \pi[/tex]
b.
[tex] \frac{7}{10} \pi[/tex]
c. 225°
d. 210°
2. 24/13
3. 120/169
4.
[tex] \frac{5}{6} \sqrt{3} + \frac{1}{2} \sqrt{2} [/tex]
Penjelasan dengan langkah-langkah:
1.
a.
[tex] \frac{80}{180} \\ = \frac{8}{18} \\ = \frac{4}{9} \pi[/tex]
b.
[tex] \frac{126}{180} \\ = \frac{21}{30} \\ = \frac{7}{10} \pi[/tex]
c.
[tex] \frac{5}{4} \pi \\ = \frac{5}{4} \times 180 \\ = 5 \times 45 \\ = 225[/tex]
= 225°
d.
[tex] \frac{7}{6} \pi \\ = \frac{7}{6} \times 180 \\ = 7 \times 30 \\ = 210[/tex]
210°
2.
[tex] {sin}^{2} \alpha + \cos {}^{2} ( \alpha ) = 1 \\ {sin}^{2} a + ( \frac{5}{13} ) {}^{2} = 1 \\ {sin}^{2} \alpha + \frac{25}{169} = 1 \\ {sin}^{2} \alpha = \frac{144}{169} \\ \sin( \alpha ) = \frac{12}{13} \\ 2 \sin(a) = \frac{24}{13} [/tex]
3.
sin a= 12/13
sin²a+cos²a= 1
(12/13)+cos²a= 1
144/169+cos²a= 1
cos²a= 25/169
cos a= 5/13
2 sin a cos a
= 2(12/13)(5/13)
= 120/169
4.
[tex] \sin(60) + \tan(30) + \cos(45) \\ = \frac{1}{2} \sqrt{3} + \frac{1}{3} \sqrt{3} + \frac{1}{2} \sqrt{2} \\ = \frac{5}{6} \sqrt{3} + \frac{1}{2} \sqrt{2} [/tex]
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