Question

find the general solution of 2cosx-1=0

Answer 1

Cosx = 1/2

x = 60

because cos 60 = 1/2

Answer 2

The general solution of $2\cos x-1=0$ is  $x=2n\pi\pm 60$

Step-by-step explanation:

Given : Equation $2\cos x-1=0$

To find : The general solution of the equation ?

Solution :

Solving equation as,

$2\cos x=1$

$\cos x=\frac{1}{2}$

$\cos x=\cos 60$

If $\cos x=\cos y$ then general solution is $x=2n\pi\pm y$

On comparing y=60,

$x=2n\pi\pm 60$

Therefore, the general solution of $2\cos x-1=0$ is  $x=2n\pi\pm 60$

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