Question

Dado sec x = -2, com ** <x<r, determine cosec x

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Answer 1

Resposta:

secx = -2

1/cosx = -2

cosx = -1/2

sen²x + cos²x = 1

sen²x + (-1/2)² = 1

sen²x + 1/4 = 1

sen²x = 1 - 1/4

sen²x = 3/4

senx = √3/4

senx = √3/2

cosecx = 1/senx

cosecx = 1/√3/2

cosex = 2/√3

cosecx = 2.√3/√3.√3

cosec x = 2√3/3

Explicação passo-a-passo: