Question

Determine o conjunto solução das equações:

a) Sen x= √2/2 b) Sen x =-1 c) 2senx + 1=0

preciso da conta ​

Answer 1

Resposta:

)

\begin{gathered}x = 0 \\ x = 2\pi\end{gathered}

x=0

x=2π

S={0,2π}

b)

\begin{gathered}x = \frac{\pi}{4} \\ x = \frac{5\pi}{4}\end{gathered}

x=

4

π

x=

4

5π

S={π, 5π/4}

c)

\begin{gathered}\sqrt{3} \cos(x) = \sin(x) \\ \frac{ \sin(x) }{ \cos(x) } = \sqrt{3} \\ \tan(x) = \sqrt{3}\end{gathered}

3

cos(x)=sin(x)

cos(x)

sin(x)

=

3

tan(x)=

3

\begin{gathered}x = \frac{\pi}{3} \\ x = \frac{4\pi}{3}\end{gathered}

x=

3

π

x=

3

4π

S={π/3,4π/3}