Buktikan Tg alpha + cotg alpha = Sec alpha COSec alpha

Bab Trigonometri
Matematika SMA Kelas X

tan a + cot a
= tan a +1/tan a
= (tan² a + 1) / tan a
= (sec² a) / tan a
= sec a . (sec a : (sin a / cos a)
= sec a . (sec a x (cos a / sin a))
= sec a . 1/sin a
= sec a . cosec a