tan² 160° - sec² 160°
= (sin² 160° / cos² 160°) - (1 / cos² 160°)
= (sin² 160° - 1) / cos² 160°
= -(1 - sin² 160°) / cos² 160°
= -(cos² 160°) / cos² 160°
= -1
Jawaban E
Jawaban:
identitas trigonometri :
sec²a = 1 + tan²a
================================
tan²160° - sec²160°
= tan²160° - (1 + tan²160°)
= tan²160° - 1 - tan²160°
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tan² 160° - sec² 160°
= (sin² 160° / cos² 160°) - (1 / cos² 160°)
= (sin² 160° - 1) / cos² 160°
= -(1 - sin² 160°) / cos² 160°
= -(cos² 160°) / cos² 160°
= -1
Jawaban E
Jawaban:
identitas trigonometri :
sec²a = 1 + tan²a
================================
tan²160° - sec²160°
= tan²160° - (1 + tan²160°)
= tan²160° - 1 - tan²160°
= -1