Question

Dadoscos x = - 1/5 , II/2 <x<II, calcule cossec x.​

Answer 1

senx = √1 -cos²x

senx = √1 -(1/25)

senx = √24/25 = 2√6/5

cossecx = 5/2√6 *(√6/√6)

cossecx = 5√6 / 2.6 = 5√6/12 ✓

Answer 2

Resposta:

Cossec x = 5√6/12

Explicação passo-a-passo:

Dadoscos x = - 1/5 , II/2 <x<II, calcule cossec x.​

π/2 e π (2° Q)

sen^2 x + cos^2 x = 1

sen^2 x + (-1/5)^2 = 1

sen^2 x + 1/25 = 1

sen^2 x = 1 - 1/25

sen^2 x = (25-1)/25

sen^2 x = 24/25

sen x = √(24/25)

sen x = √4.√6/5

sen x = 2√6/5

2°Q (+)

Cossec x = 1/senx

Cossec x = 1 : 2√6/5

Cossec x = 5/2√6 . √6/√6

Cossec x = 5√6/(2√6.√6)

Cossec x = 5√6/(2.6)

Cossec x = 5√6/12