Soal Simulasi Ujian IPS Kelas 12
Tahun 2018Soal Pilihan Ganda
15. Bentuk yang senilai dengan sec2x - 1 adalah
A. sin2x
B. cos2x
C. tan2x
D, cosec2x
E. cotan2x
Jawaban : C
sec2x - 1
sec x = (1/cos x)
= (1/cos2x) - 1
= (1/cos2x) - (cos2x/cos2x)
= (1 - cos2x) / cos2x
sin2x + cos2x = 1
sin2x = 1 - cos2x
= sin2x / cos2x
= tan2x
sec2x - 1
sec x = (1/cos x)
= (1/cos2x) - 1
= (1/cos2x) - (cos2x/cos2x)
= (1 - cos2x) / cos2x
sin2x + cos2x = 1
sin2x = 1 - cos2x
= sin2x / cos2x
= tan2x
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