buktikan bahwa 2/sin a= sin a/1+cos a + 1+cosa/sin a
Matematika
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Pertanyaan
buktikan bahwa
2/sin a= sin a/1+cos a + 1+cosa/sin a
2/sin a= sin a/1+cos a + 1+cosa/sin a
1 Jawaban
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1. Jawaban Robinn
2/sinx = sinx / 1 + cosx + 1 + cosx/sinx
2/sinx = sin²x + (1 + cosx)² / (1 + cosx)sinx
2/sinx = sin²x + 1 + 2cosx + cos²x / (1 + cosx)sinx
2/sinx = 1 + 1 + 2cosx / (1 + cosx)sinx
2/sinx = 2 + 2cosx / (1 + cosx)sinx
2/sinx = 2 (1 + cosx) / (1 + cosx)sinx
2/sinx = 2 / sinx