Question

Pembuktian bahwa :
tan2 x ÷ 1 + sec x = sec x - 1
keterangan:
tan2 x = tangen kuadrat x

Answer 1

Verified answer

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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