pembuktian bahwa : tan2 x ÷ 1 + sec x = sec x - 1 keterangan: tan2 x = tangen kuadrat x
Matematika
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Pertanyaan
pembuktian bahwa :
tan2 x ÷ 1 + sec x = sec x - 1
keterangan:
tan2 x = tangen kuadrat x
tan2 x ÷ 1 + sec x = sec x - 1
keterangan:
tan2 x = tangen kuadrat x
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Trigonometri
tan² x + 1 = sec² x
tan² = sec² x - 1
- tan² x = 1 - sec² x
1 - sec² x = - tan² x
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tan² x / (1 + sec x)
= tan² x/(1 + sec x) . (1 - sec x)/(1 - sec x)
= tan² x . (1 - sec x)/(1² - sec² x)
= tan² x . (1 - sec x) / (- tan² x)
= - ( 1 - sec x)
= sec x - 1
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