Question

Trigonometri
Matematika Wajib kelas 10 Smt 2

Buktikan:
a. cos a(alfa) / 1 - tan a(alfa) + sin a(alfa) / 1 - cos a(alfa)

b. tan² a(alfa) / 1 + tan²a(alfa) = sin² tak terdefinisikan

Answer 1

Verified answer

Tan² α = sin² α / cos² α
1 + tan² α = sec² α
sec² α = 1/cos² α
1 + tan² α = 1/cos² α

Jawaban:
tan² α / (1 + tan² α)
= (sin² α / cos² α) / (1/cos² α)
= (sin² α / cos² α) × cos² α/1
= (sin² α . cos² α)/ (cos² α)
= sin² α