Question

Jika sin (a + 30°) = sin a, tentukan nilai tan a!

Answer 1

Sin x cos 30 + cos x sin 30 = sin x
sin x ( 1/2 √ 3) + cos x (1/2) = sin x
bagikan dengan sin x
1/2√3 + 1/2 . cot x = 1
cot x = (1 - 1/2√ 3) / (1/2)
cot x = 2(1 - 1/2√3)
cot x = 2 - √3
tan x = 1/ cot x = 1/ ( 2 - √3) = 2+ √3