buktikan bahwa: cos a 1+sin a -------- + ---------- = 2 sec a 1+ sin a cos a tolong bantu ya trims
Matematika
nadiamhrna
Pertanyaan
buktikan bahwa:
cos a 1+sin a
-------- + ---------- = 2 sec a
1+ sin a cos a
tolong bantu ya trims
cos a 1+sin a
-------- + ---------- = 2 sec a
1+ sin a cos a
tolong bantu ya trims
1 Jawaban
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1. Jawaban Robinn
(cosx / 1 + sinx) + (1 + sinx / cosx) = 2secx
cos²x + (1 + sinx)² / cosx (1 + sinx) = 2secx
cos²x + 1 + 2sinx + sin²x / cosx (1 + sinx) = 2secx
1 + 1 + 2sinx / cosx (1 + sinx) = 2secx
2 + 2sinx / cosx (1 + sinx) = 2secx
2 (1 + sinx) / cosx (1 + sinx) = 2secx
2 (1 / cosx) = 2secx
2secx = 2secx