Question

Dado sen x = 1/2 e detemine o valor de catg x

Answer 1

cotg x = cosx / sen x
sen x = 1/2
sen²x + cos²x = 1
(1/2)² + cos²x = 1
cos²x = 1 - 1/4
cos²x = 3/4
cos x = √(3/4)
cos x = √3 / 2

cotg x = cos x / sen x
cotg x = (√3 / 2) / (1/2)
cotg x = (√3 /  2 ) . (2/1)
cotg x = √3