Question

Sin 2x / 1+cos 2x sama dengan...
a. Tan x
b. cot x
c. sec x
d. Tan 2x
e. cot 2x

Answer 1

Sin 2x / (1 + cos 2x)
= (2. sin x . cos x) / (1 + (1 - 2sin² x))
= (2. sin x . cos x) / (2 - 2 sin² x)
= (2. sin x . cos x) / (2. (1 - sin² x))
= (sin x . cos x) / (1 - sin² x)
= (sin x . cos x) / (cos² x)
= (sin x) / (cos x)
= tan x

Jawaban a