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

The general solution for cos(pix)=0.5 is x= 1/3+2n,x= 5/3+2n

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cos(pix)=0.5

cos (π x) = 0.5

x = \frac{1}{3} + 2 n, x = \frac{5}{3} + 2 n

Solution steps

cos (π x) = 0.5

General solutions for

cos (π x) = 0.5

π x = \frac{π}{3} + 2 πn, π x = \frac{5 π}{3} + 2 πn

Solve

π x = \frac{π}{3} + 2 πn : x = \frac{1}{3} + 2 n

Solve

π x = \frac{5 π}{3} + 2 πn : x = \frac{5}{3} + 2 n

x = \frac{1}{3} + 2 n, x = \frac{5}{3} + 2 n

cos (x) cot^{2} (x) - 3 cos (x) = 0

- 3 cos^{2} (θ) - 6 cos (θ) + 3 = - cos (θ) + 5

cos (x) - 1 = cos (2 x)

sin (x + \frac{π}{4}) = \frac{2}{2}

tan (θ) = 2.4

What is the general solution for cos(pix)=0.5 ?
The general solution for cos(pix)=0.5 is x= 1/3+2n,x= 5/3+2n