What is the general solution for 0.5cos(x)=cos(x) ?

The general solution for 0.5cos(x)=cos(x) is x= pi/2+2pin,x=(3pi)/2+2pin

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0.5cos(x)=cos(x)

0.5 cos (x) = cos (x)

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

Solution steps

0.5 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 (a) = - \frac{1}{2}

sin (2 x + 3 0^{\circ}) = - \frac{3}{2}

8 tan^{2} (θ) - 1 = 7 tan (θ)

2 sin^{(2)} (x) - 3 sin (x) + 1 = 0

sin (x + \frac{π}{4}) = 1

What is the general solution for 0.5cos(x)=cos(x) ?
The general solution for 0.5cos(x)=cos(x) is x= pi/2+2pin,x=(3pi)/2+2pin