Question

tg x=2/3
aflati sin x, cos x si ctg x​

Answer 1

Răspuns:

Explicație pas cu pas:

tg x = 2/3  

tg x = sinx / cos x

tg² x = sin²x / cos²x = sin²x / (1 - sin²x)  = 4/9 =>

9sin²x = 4 - 4 sin²x =>

13sin²x = 4 => sin²x = 4/13 =>

sin x = √(4/13) = 2/√13 = 2√13/13 ≈ 0,555

sin²x = 4/13 => cos²x = 1-4/13 = 9/13 =>

cos x = ±√(9/13) = ±3/√13 = ±3√13/13 ≈ ± 0,832

ctg x = 1/tgx = 3/2