Question

Resolva a equaçõa em U = [ 0 ; 2π [

tg x = 0

a)V = { π/2 , 3π/2 }
b)V = { π }
c)V = { π/2 }
d)V = { 0 , π }

Answer 1

Resposta:

cos x = 0

cos 90° = 0

S = {π/2, 3π/2)

cos x = √2/2

45° = π/4

x = a + 2kπ

x = π/4 + 2kπ

x = - a + 2kπ

x = - π/4 + 2kπ

S = {- π/4, π/4}

cos x = 1 (Inexistente)

cos x = - 1/2

30° = π/6

x = a + 2kπ

x = π - π/6 + 2kπ

x = 5π/6 + 2kπ

x = - a + 2kπ

x = - 5π/6 + 2kπ

S = {- 5π/6, 5π/6}

3cos x + 6 = 0

3cos x = - 6

cos x = - 2 (Inexistente)

4cos² x = 3

cos² x = 3/4

cos x = √3/2

30° = π/6

S = {- π/6, π/6}

Explicação passo-a-passo:acho que ta certo :D