What is the general solution for cos(x/2)(1/2)=0 ?

The general solution for cos(x/2)(1/2)=0 is x=pi+4pin,x=3pi+4pin

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cos(x/2)(1/2)=0

cos (\frac{x}{2}) (\frac{1}{2}) = 0

x = π + 4 πn, x = 3 π + 4 πn

Solution steps

cos (\frac{x}{2}) (\frac{1}{2}) = 0

Multiply both sides by

2

cos (\frac{x}{2}) = 0

General solutions for

cos (\frac{x}{2}) = 0

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

Solve

\frac{x}{2} = \frac{π}{2} + 2 πn : x = π + 4 πn

Solve

\frac{x}{2} = \frac{3 π}{2} + 2 πn : x = 3 π + 4 πn

x = π + 4 πn, x = 3 π + 4 πn

cos (x) = 0.83

sin (x + \frac{π}{4}) = \frac{1}{2}, 0 \leq x \leq 2 π

cos (2 x) + 7 cos (x) + 4 = 0

2 sec (θ) - 2 = 0

8 cos (2 θ) = 24 cos (θ) - 16

What is the general solution for cos(x/2)(1/2)=0 ?
The general solution for cos(x/2)(1/2)=0 is x=pi+4pin,x=3pi+4pin