What is the general solution for 2cos(x)=-cos(x) ?

The general solution for 2cos(x)=-cos(x) is x= pi/2+2pin,x=(3pi)/2+2pin

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2cos(x)=-cos(x)

2 cos (x) = - cos (x)

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

2 cos (x) = - cos (x)

Solve by substitution

cos (x) = 0

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

tan (x) = - 10

cos (\frac{π}{x}) = \frac{3}{3}

y, arctan (\frac{y}{x}) = ln (x)

- cos (7 4^{\circ}) = cos (θ)

sin (x) = 50

What is the general solution for 2cos(x)=-cos(x) ?
The general solution for 2cos(x)=-cos(x) is x= pi/2+2pin,x=(3pi)/2+2pin