Question

tentukan tan 1/2 x​

Answer 1

Trigonometri

sin x / (1 + cos x) = p

p = (2 sin (x/2) cos (x/2)) / (2 cos² (x/2))

p = (sin (x/2) / cos (x/2))(cos (x/2) / cos (x/2))

p = tan (x/2)

tan (x/2) = p ✔

•••

sin x = sin 2(x/2) = 2 sin (x/2) cos (x/2)

cos x = cos 2(x/2) = 2 cos² (x/2) - 1