Question

Kalau tan A = 1/2
gimana cara nyari tan 3A?
tlg jgn pakai kalkulator yaa.. tlg prosesnya ya..
thanks!

Answer 1

Tan A = 1/2
tan 3A = tan (A + 2A)
= (tan A + tan 2A)/(1 - tan A tan 2A)
cari tan 2A = tan (A + A)
= 2 tan A/(1 - tan²A)
= 2(1/2) / (1 - 1/4)
= 1/(3/4)
= 4/3
maka:
tan 3A = (1/2 + 4/3) / (1 - 1/2 * 4/3)
= (11/6) / (1/3)
= 11/2