Question

Solve the equation on theinterval [0, 2π).cos x + √/2 = -cos x[?][]TDX =Write your answer in increasing order. Enter thenumber that belongs in the green box.

Answer 1

Given the expression

`cos(x)+√(2)=-cos(x)`
`cos(x)+cos(x)=-√(2)`
`2cos(x)=-√(2)`
`cos(x)=(-√(2))/(2)`
`x=ArcCos((-√(2))/(2))`
`x=(3\pi)/(4);x=(5\pi)/(4)`