tolong bantu jawab ya.. tan²x/1+sec x = 1 Tentukan nilai x!
Matematika
rinafitriana21
Pertanyaan
tolong bantu jawab ya..
tan²x/1+sec x = 1 Tentukan nilai x!
tan²x/1+sec x = 1 Tentukan nilai x!
1 Jawaban
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1. Jawaban whongaliem
tan² x / (1 + sec x) = 1
tan² x = 1 + sec x
sec² x - 1 = 1 + sec x
sec² x - sec x - 1 - 1 = 0
sec² x - sec x - 2 = 0
(sec x + 1)(secx - 2) = 0
sec x + 1 = 0 atau sec x - 2 = 0
sec x = -1 atau sec x = 2
1/ cos x = - 1 atau 1/ cos x = 2
cos x = - 1 atau cos x = 1/2
x = 180° atau x = 60°